-6(n+7)-5(6+3n)=-51

Solution for -6(n+7)-5(6+3n)=-51 equation:

Simplifying
-6(n + 7) + -5(6 + 3n) = -51

Reorder the terms:
-6(7 + n) + -5(6 + 3n) = -51
(7 * -6 + n * -6) + -5(6 + 3n) = -51
(-42 + -6n) + -5(6 + 3n) = -51
-42 + -6n + (6 * -5 + 3n * -5) = -51
-42 + -6n + (-30 + -15n) = -51

Reorder the terms:
-42 + -30 + -6n + -15n = -51

Combine like terms: -42 + -30 = -72
-72 + -6n + -15n = -51

Combine like terms: -6n + -15n = -21n
-72 + -21n = -51

Solving
-72 + -21n = -51

Solving for variable 'n'.

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

Add '72' to each side of the equation.
-72 + 72 + -21n = -51 + 72

Combine like terms: -72 + 72 = 0
0 + -21n = -51 + 72
-21n = -51 + 72

Combine like terms: -51 + 72 = 21
-21n = 21

Divide each side by '-21'.
n = -1

Simplifying
n = -1