-90 = -8(-3n+5) - 2
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To solve the equation -90 = -8(-3n + 5) - 2, we can apply the order of operations (PEMDAS) to simplify the expression step by step:
1. Start by simplifying the expression inside the parentheses:
-3n + 5
2. Distribute -8 to -3n and 5:
-8 * -3n = 24n
-8 * 5 = -40
The equation can now be rewritten as:
-90 = 24n - 40 - 2
3. Combine like terms:
-90 = 24n - 42
4. To isolate the variable, add 42 to both sides of the equation:
-90 + 42 = 24n - 42 + 42
-48 = 24n
5. Divide both sides by 24 to solve for n:
-48/24 = (24n)/24
-2 = n
Therefore, the solution to the equation is n = -2.
-6(2+6a) = -120
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To solve the equation -6(2 + 6a) = -120, we can follow the order of operations (PEMDAS):
1. Start by simplifying the expression inside the parentheses:
2 + 6a
2. Multiply 6 by 2 and 6a:
6 * 2 = 12
6 * 6a = 36a
The equation can now be rewritten as:
-6(12 + 36a) = -120
3. Simplify the expression inside the parentheses:
12 + 36a
4. Multiply -6 by 12 and 36a:
-6 * 12 = -72
-6 * 36a = -216a
The equation becomes:
-72 - 216a = -120
5. To isolate the variable, add 72 to both sides of the equation:
-72 + 72 - 216a = -120 + 72
-216a = -48
6. Divide both sides by -216 to solve for a:
-216a / -216 = -48 / -216
a = 48 / 216
7. Simplify the fraction:
a = 1 / 4.5
The solution to the equation is a = 1/4.5 or approximately 0.2222.
-183 = 3(3+8v)
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To solve the equation -183 = 3(3 + 8v), we can use the order of operations (PEMDAS) to simplify the expression step by step:
1. Start by simplifying the expression inside the parentheses:
3 + 8v
2. Multiply 8 by v:
8v
The equation can now be rewritten as:
-183 = 3(3 + 8v)
3. Simplify the expression inside the parentheses:
3 + 8v
4. Multiply 3 by 3 and 3 by 8v:
3 * 3 = 9
3 * 8v = 24v
The equation becomes:
-183 = 9 + 24v
5. Subtract 9 from both sides of the equation:
-183 - 9 = 9 + 24v - 9
-192 = 24v
6. To isolate the variable, divide both sides by 24:
-192 / 24 = (24v) / 24
-8 = v
The solution to the equation is v = -8.
-6(4-8x) = -120
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To solve the equation -6(4 - 8x) = -120, we can follow the order of operations (PEMDAS):
1. Start by simplifying the expression inside the parentheses:
4 - 8x
2. Multiply -8 by x:
-8x
The equation can now be rewritten as:
-6(4 - 8x) = -120
3. Simplify the expression inside the parentheses:
4 - 8x
4. Multiply -6 by 4 and -6 by -8x:
-6 * 4 = -24
-6 * -8x = 48x
The equation becomes:
-24 - 48x = -120
5. To isolate the variable, add 24 to both sides of the equation:
-24 + 24 - 48x = -120 + 24
-48x = -96
6. Divide both sides by -48 to solve for x:
-48x / -48 = -96 / -48
x = 2
The solution to the equation is x = 2.
104 = -4(4x - 6)
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To solve the equation 104 = -4(4x - 6), we can apply the order of operations (PEMDAS) to simplify the expression step by step:
1. Start by simplifying the expression inside the parentheses:
4x - 6
2. Multiply 4 by x and -4 by -6:
4x - 6
The equation can now be rewritten as:
104 = -4(4x - 6)
3. Distribute -4 to 4x and -6:
-4 * 4x = -16x
-4 * -6 = 24
The equation becomes:
104 = -16x + 24
4. To isolate the variable, subtract 24 from both sides of the equation:
104 - 24 = -16x + 24 - 24
80 = -16x
5. Divide both sides by -16 to solve for x:
80 / -16 = (-16x) / -16
-5 = x
Therefore, the solution to the equation is x = -5.
-6n - 7(3n - 5) = 116
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