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

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

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

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

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

Solving for variable 'n'.

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

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

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

Combine like terms: 7n + -7n = 0
-37 + 1n = -42 + 0
-37 + 1n = -42

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

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

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

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

Simplifying
n = -5