-4(n+1)+5(n-6)=-42

Solution for -4(n+1)+5(n-6)=-42 equation:

Simplifying
-4(n + 1) + 5(n + -6) = -42

Reorder the terms:
-4(1 + n) + 5(n + -6) = -42
(1 * -4 + n * -4) + 5(n + -6) = -42
(-4 + -4n) + 5(n + -6) = -42

Reorder the terms:
-4 + -4n + 5(-6 + n) = -42
-4 + -4n + (-6 * 5 + n * 5) = -42
-4 + -4n + (-30 + 5n) = -42

Reorder the terms:
-4 + -30 + -4n + 5n = -42

Combine like terms: -4 + -30 = -34
-34 + -4n + 5n = -42

Combine like terms: -4n + 5n = 1n
-34 + 1n = -42

Solving
-34 + 1n = -42

Solving for variable 'n'.

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

Add '34' to each side of the equation.
-34 + 34 + 1n = -42 + 34

Combine like terms: -34 + 34 = 0
0 + 1n = -42 + 34
1n = -42 + 34

Combine like terms: -42 + 34 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8