(-3n)+6+2n=15-(-8n)

Solution for (-3n)+6+2n=15-(-8n) equation:

Simplifying
(-3n) + 6 + 2n = 15 + -1(-8n)

Reorder the terms:
6 + (-3n) + 2n = 15 + -1(-8n)

Combine like terms: (-3n) + 2n = -1n
6 + -1n = 15 + -1(-8n)

Remove parenthesis around (-8n)
6 + -1n = 15 + -1 * -8n

Multiply -1 * -8
6 + -1n = 15 + 8n

Solving
6 + -1n = 15 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + -1n + -8n = 15 + 8n + -8n

Combine like terms: -1n + -8n = -9n
6 + -9n = 15 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -9n = 15 + 0
6 + -9n = 15

Add '-6' to each side of the equation.
6 + -6 + -9n = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -9n = 15 + -6
-9n = 15 + -6

Combine like terms: 15 + -6 = 9
-9n = 9

Divide each side by '-9'.
n = -1

Simplifying
n = -1