-72=-5(n+6)-7

Solution for -72=-5(n+6)-7 equation:

Simplifying
-72 = -5(n + 6) + -7

Reorder the terms:
-72 = -5(6 + n) + -7
-72 = (6 * -5 + n * -5) + -7
-72 = (-30 + -5n) + -7

Reorder the terms:
-72 = -30 + -7 + -5n

Combine like terms: -30 + -7 = -37
-72 = -37 + -5n

Solving
-72 = -37 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-72 + 5n = -37 + -5n + 5n

Combine like terms: -5n + 5n = 0
-72 + 5n = -37 + 0
-72 + 5n = -37

Add '72' to each side of the equation.
-72 + 72 + 5n = -37 + 72

Combine like terms: -72 + 72 = 0
0 + 5n = -37 + 72
5n = -37 + 72

Combine like terms: -37 + 72 = 35
5n = 35

Divide each side by '5'.
n = 7

Simplifying
n = 7