6n-4(n-8)=-3(n+6)

Solution for 6n-4(n-8)=-3(n+6) equation:

Simplifying
6n + -4(n + -8) = -3(n + 6)

Reorder the terms:
6n + -4(-8 + n) = -3(n + 6)
6n + (-8 * -4 + n * -4) = -3(n + 6)
6n + (32 + -4n) = -3(n + 6)

Reorder the terms:
32 + 6n + -4n = -3(n + 6)

Combine like terms: 6n + -4n = 2n
32 + 2n = -3(n + 6)

Reorder the terms:
32 + 2n = -3(6 + n)
32 + 2n = (6 * -3 + n * -3)
32 + 2n = (-18 + -3n)

Solving
32 + 2n = -18 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
32 + 2n + 3n = -18 + -3n + 3n

Combine like terms: 2n + 3n = 5n
32 + 5n = -18 + -3n + 3n

Combine like terms: -3n + 3n = 0
32 + 5n = -18 + 0
32 + 5n = -18

Add '-32' to each side of the equation.
32 + -32 + 5n = -18 + -32

Combine like terms: 32 + -32 = 0
0 + 5n = -18 + -32
5n = -18 + -32

Combine like terms: -18 + -32 = -50
5n = -50

Divide each side by '5'.
n = -10

Simplifying
n = -10