-8n+4(1+5n)=-6n-14
To solve the equation -8n + 4(1 + 5n) = -6n - 14, we can start by simplifying the expression on the right side.
The distributive property tells us that 4 multiplied by 1 is 4, and 4 multiplied by 5n is 20n. So, we have:
-8n + 4 + 20n = -6n - 14
Next, we can combine like terms on both sides of the equation. On the left side, we have -8n + 20n, which equals 12n. On the right side, we have -6n - 14.
So, the equation becomes:
12n + 4 = -6n - 14
Now, we can isolate the variable n by moving the -6n term to the left side of the equation and the 4 term to the right side. To do this, we can add 6n to both sides and subtract 4 from both sides:
12n + 6n + 4 = -6n + 6n - 14 - 4
18n + 4 = -14
Next, we can solve for n by subtracting 4 from both sides:
18n = -14 - 4
18n = -18
Finally, we can solve for n by dividing both sides by 18:
n = -18/18
n = -1
Therefore, the solution to the equation -8n + 4(1 + 5n) = -6n - 14 is n = -1.
To solve the equation -8n+4(1+5n)=-6n-14, follow these steps:
Step 1: Distribute the 4 to both terms inside the parentheses:
-8n + 4 + 20n = -6n - 14
Step 2: Combine like terms on both sides of the equation:
12n + 4 = -6n - 14
Step 3: Move all the terms with n to one side of the equation by subtracting 12n from both sides:
12n - 12n + 4 = -6n - 12n - 14
4 = -18n - 14
Step 4: Move the constant term to the other side of the equation by adding 14 to both sides:
4 + 14 = -18n - 14 + 14
18 = -18n
Step 5: Divide both sides by -18 to solve for n:
18 / -18 = -18n / -18
1 = n
Step 6: The solution to the equation is n = 1.
To solve the equation -8n + 4(1 + 5n) = -6n - 14, you can follow these steps:
Step 1: Distribute the 4 across the parentheses:
-8n + 4(1) + 4(5n) = -6n - 14
Step 2: Simplify:
-8n + 4 + 20n = -6n - 14
Step 3: Combine like terms on both sides of the equation:
(20n - 8n) + 4 = (-6n - 14)
Step 4: Simplify further:
12n + 4 = -6n - 14
Step 5: Get all the n terms on one side of the equation by adding 6n to both sides:
12n + 6n + 4 = -6n + 6n - 14
Step 6: Simplify:
18n + 4 = -14
Step 7: Isolate the n term by subtracting 4 from both sides:
18n + 4 - 4 = -14 - 4
Step 8: Simplify:
18n = -18
Step 9: Divide both sides of the equation by 18 to solve for n:
(18n)/18 = (-18)/18
Step 10: Simplify:
n = -1
So, the solution to the equation -8n + 4(1 + 5n) = -6n - 14 is n = -1.