6=-2(5-6n)-4(7n+8)

Solution for 6=-2(5-6n)-4(7n+8) equation:

Simplifying
6 = -2(5 + -6n) + -4(7n + 8)
6 = (5 * -2 + -6n * -2) + -4(7n + 8)
6 = (-10 + 12n) + -4(7n + 8)

Reorder the terms:
6 = -10 + 12n + -4(8 + 7n)
6 = -10 + 12n + (8 * -4 + 7n * -4)
6 = -10 + 12n + (-32 + -28n)

Reorder the terms:
6 = -10 + -32 + 12n + -28n

Combine like terms: -10 + -32 = -42
6 = -42 + 12n + -28n

Combine like terms: 12n + -28n = -16n
6 = -42 + -16n

Solving
6 = -42 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
6 + 16n = -42 + -16n + 16n

Combine like terms: -16n + 16n = 0
6 + 16n = -42 + 0
6 + 16n = -42

Add '-6' to each side of the equation.
6 + -6 + 16n = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 16n = -42 + -6
16n = -42 + -6

Combine like terms: -42 + -6 = -48
16n = -48

Divide each side by '16'.
n = -3

Simplifying
n = -3