7(n+5)+6(3n+6)=21

Solution for 7(n+5)+6(3n+6)=21 equation:

Simplifying
7(n + 5) + 6(3n + 6) = 21

Reorder the terms:
7(5 + n) + 6(3n + 6) = 21
(5 * 7 + n * 7) + 6(3n + 6) = 21
(35 + 7n) + 6(3n + 6) = 21

Reorder the terms:
35 + 7n + 6(6 + 3n) = 21
35 + 7n + (6 * 6 + 3n * 6) = 21
35 + 7n + (36 + 18n) = 21

Reorder the terms:
35 + 36 + 7n + 18n = 21

Combine like terms: 35 + 36 = 71
71 + 7n + 18n = 21

Combine like terms: 7n + 18n = 25n
71 + 25n = 21

Solving
71 + 25n = 21

Solving for variable 'n'.

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

Add '-71' to each side of the equation.
71 + -71 + 25n = 21 + -71

Combine like terms: 71 + -71 = 0
0 + 25n = 21 + -71
25n = 21 + -71

Combine like terms: 21 + -71 = -50
25n = -50

Divide each side by '25'.
n = -2

Simplifying
n = -2