6=-6(n+2)-7(n+3)

Solution for 6=-6(n+2)-7(n+3) equation:

Simplifying
6 = -6(n + 2) + -7(n + 3)

Reorder the terms:
6 = -6(2 + n) + -7(n + 3)
6 = (2 * -6 + n * -6) + -7(n + 3)
6 = (-12 + -6n) + -7(n + 3)

Reorder the terms:
6 = -12 + -6n + -7(3 + n)
6 = -12 + -6n + (3 * -7 + n * -7)
6 = -12 + -6n + (-21 + -7n)

Reorder the terms:
6 = -12 + -21 + -6n + -7n

Combine like terms: -12 + -21 = -33
6 = -33 + -6n + -7n

Combine like terms: -6n + -7n = -13n
6 = -33 + -13n

Solving
6 = -33 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
6 + 13n = -33 + -13n + 13n

Combine like terms: -13n + 13n = 0
6 + 13n = -33 + 0
6 + 13n = -33

Add '-6' to each side of the equation.
6 + -6 + 13n = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 13n = -33 + -6
13n = -33 + -6

Combine like terms: -33 + -6 = -39
13n = -39

Divide each side by '13'.
n = -3

Simplifying
n = -3