-3(-6N+8)-6(N-1)=-42

Solution for -3(-6N+8)-6(N-1)=-42 equation:

Simplifying
-3(-6N + 8) + -6(N + -1) = -42

Reorder the terms:
-3(8 + -6N) + -6(N + -1) = -42
(8 * -3 + -6N * -3) + -6(N + -1) = -42
(-24 + 18N) + -6(N + -1) = -42

Reorder the terms:
-24 + 18N + -6(-1 + N) = -42
-24 + 18N + (-1 * -6 + N * -6) = -42
-24 + 18N + (6 + -6N) = -42

Reorder the terms:
-24 + 6 + 18N + -6N = -42

Combine like terms: -24 + 6 = -18
-18 + 18N + -6N = -42

Combine like terms: 18N + -6N = 12N
-18 + 12N = -42

Solving
-18 + 12N = -42

Solving for variable 'N'.

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

Add '18' to each side of the equation.
-18 + 18 + 12N = -42 + 18

Combine like terms: -18 + 18 = 0
0 + 12N = -42 + 18
12N = -42 + 18

Combine like terms: -42 + 18 = -24
12N = -24

Divide each side by '12'.
N = -2

Simplifying
N = -2