-90 = -8(-3n+5) - 2
solve using pemdas
To solve this equation using PEMDAS (Order of Operations), follow these steps:
1. Begin by simplifying the expression inside the parentheses:
-8(-3n + 5) = 24n - 40
2. Rewrite the equation with the simplified expression:
-90 = 24n - 40 - 2
3. Simplify the right side by combining like terms:
-90 = 24n - 42
4. Move the constant term (-42) to the left side by adding 42 to both sides:
-90 + 42 = 24n - 42 + 42
-48 = 24n
5. Divide both sides by 24 to isolate "n":
-48/24 = 24n/24
-2 = n
Therefore, the solution is n = -2.
To solve the equation using PEMDAS, follow these steps:
Step 1: Simplify both sides of the equation by applying the distributive property.
-90 = -8 * -3n + (-8 * 5) - 2
Simplifying further:
-90 = 24n - 40 - 2
Step 2: Combine like terms on the right side of the equation.
-90 = 24n - 42
Step 3: Isolate the variable "n" by adding 42 to both sides of the equation.
-90 + 42 = 24n
Simplifying further:
-48 = 24n
Step 4: Divide both sides of the equation by 24 to solve for n.
-48/24 = 24n/24
Simplifying further:
-2 = n
Therefore, the solution to the equation is n = -2.