-7(n-6)=-8n+37

Solution for -7(n-6)=-8n+37 equation:

Simplifying
-7(n + -6) = -8n + 37

Reorder the terms:
-7(-6 + n) = -8n + 37
(-6 * -7 + n * -7) = -8n + 37
(42 + -7n) = -8n + 37

Reorder the terms:
42 + -7n = 37 + -8n

Solving
42 + -7n = 37 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
42 + -7n + 8n = 37 + -8n + 8n

Combine like terms: -7n + 8n = 1n
42 + 1n = 37 + -8n + 8n

Combine like terms: -8n + 8n = 0
42 + 1n = 37 + 0
42 + 1n = 37

Add '-42' to each side of the equation.
42 + -42 + 1n = 37 + -42

Combine like terms: 42 + -42 = 0
0 + 1n = 37 + -42
1n = 37 + -42

Combine like terms: 37 + -42 = -5
1n = -5

Divide each side by '1'.
n = -5

Simplifying
n = -5