-3(n-2)-4(-2n+2)=-32

Solution for -3(n-2)-4(-2n+2)=-32 equation:

Simplifying
-3(n + -2) + -4(-2n + 2) = -32

Reorder the terms:
-3(-2 + n) + -4(-2n + 2) = -32
(-2 * -3 + n * -3) + -4(-2n + 2) = -32
(6 + -3n) + -4(-2n + 2) = -32

Reorder the terms:
6 + -3n + -4(2 + -2n) = -32
6 + -3n + (2 * -4 + -2n * -4) = -32
6 + -3n + (-8 + 8n) = -32

Reorder the terms:
6 + -8 + -3n + 8n = -32

Combine like terms: 6 + -8 = -2
-2 + -3n + 8n = -32

Combine like terms: -3n + 8n = 5n
-2 + 5n = -32

Solving
-2 + 5n = -32

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 5n = -32 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = -32 + 2
5n = -32 + 2

Combine like terms: -32 + 2 = -30
5n = -30

Divide each side by '5'.
n = -6

Simplifying
n = -6