-8(n-3)+2(4n-6)=3n+6+6

Solution for -8(n-3)+2(4n-6)=3n+6+6 equation:

Simplifying
-8(n + -3) + 2(4n + -6) = 3n + 6 + 6

Reorder the terms:
-8(-3 + n) + 2(4n + -6) = 3n + 6 + 6
(-3 * -8 + n * -8) + 2(4n + -6) = 3n + 6 + 6
(24 + -8n) + 2(4n + -6) = 3n + 6 + 6

Reorder the terms:
24 + -8n + 2(-6 + 4n) = 3n + 6 + 6
24 + -8n + (-6 * 2 + 4n * 2) = 3n + 6 + 6
24 + -8n + (-12 + 8n) = 3n + 6 + 6

Reorder the terms:
24 + -12 + -8n + 8n = 3n + 6 + 6

Combine like terms: 24 + -12 = 12
12 + -8n + 8n = 3n + 6 + 6

Combine like terms: -8n + 8n = 0
12 + 0 = 3n + 6 + 6
12 = 3n + 6 + 6

Reorder the terms:
12 = 6 + 6 + 3n

Combine like terms: 6 + 6 = 12
12 = 12 + 3n

Add '-12' to each side of the equation.
12 + -12 = 12 + -12 + 3n

Combine like terms: 12 + -12 = 0
0 = 12 + -12 + 3n

Combine like terms: 12 + -12 = 0
0 = 0 + 3n
0 = 3n

Solving
0 = 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.
0 + -3n = 3n + -3n
Remove the zero:
-3n = 3n + -3n

Combine like terms: 3n + -3n = 0
-3n = 0

Divide each side by '-3'.
n = 0

Simplifying
n = 0