-90 = -8(-3n+5) - 2

solve using pemdas

1 answer

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.