3n-6(1-11n)=-6(1+8n)

Solution for 3n-6(1-11n)=-6(1+8n) equation:

Simplifying
3n + -6(1 + -11n) = -6(1 + 8n)
3n + (1 * -6 + -11n * -6) = -6(1 + 8n)
3n + (-6 + 66n) = -6(1 + 8n)

Reorder the terms:
-6 + 3n + 66n = -6(1 + 8n)

Combine like terms: 3n + 66n = 69n
-6 + 69n = -6(1 + 8n)
-6 + 69n = (1 * -6 + 8n * -6)
-6 + 69n = (-6 + -48n)

Add '6' to each side of the equation.
-6 + 6 + 69n = -6 + 6 + -48n

Combine like terms: -6 + 6 = 0
0 + 69n = -6 + 6 + -48n
69n = -6 + 6 + -48n

Combine like terms: -6 + 6 = 0
69n = 0 + -48n
69n = -48n

Solving
69n = -48n

Solving for variable 'n'.

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

Add '48n' to each side of the equation.
69n + 48n = -48n + 48n

Combine like terms: 69n + 48n = 117n
117n = -48n + 48n

Combine like terms: -48n + 48n = 0
117n = 0

Divide each side by '117'.
n = 0

Simplifying
n = 0