-7(2n+6)-6(5+4n)=80

Solution for -7(2n+6)-6(5+4n)=80 equation:

Simplifying
-7(2n + 6) + -6(5 + 4n) = 80

Reorder the terms:
-7(6 + 2n) + -6(5 + 4n) = 80
(6 * -7 + 2n * -7) + -6(5 + 4n) = 80
(-42 + -14n) + -6(5 + 4n) = 80
-42 + -14n + (5 * -6 + 4n * -6) = 80
-42 + -14n + (-30 + -24n) = 80

Reorder the terms:
-42 + -30 + -14n + -24n = 80

Combine like terms: -42 + -30 = -72
-72 + -14n + -24n = 80

Combine like terms: -14n + -24n = -38n
-72 + -38n = 80

Solving
-72 + -38n = 80

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 + -38n = 80 + 72

Combine like terms: -72 + 72 = 0
0 + -38n = 80 + 72
-38n = 80 + 72

Combine like terms: 80 + 72 = 152
-38n = 152

Divide each side by '-38'.
n = -4

Simplifying
n = -4