-6n+6=3(n-7)

Solution for -6n+6=3(n-7) equation:

Simplifying
-6n + 6 = 3(n + -7)

Reorder the terms:
6 + -6n = 3(n + -7)

Reorder the terms:
6 + -6n = 3(-7 + n)
6 + -6n = (-7 * 3 + n * 3)
6 + -6n = (-21 + 3n)

Solving
6 + -6n = -21 + 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.
6 + -6n + -3n = -21 + 3n + -3n

Combine like terms: -6n + -3n = -9n
6 + -9n = -21 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -9n = -21 + 0
6 + -9n = -21

Add '-6' to each side of the equation.
6 + -6 + -9n = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -9n = -21 + -6
-9n = -21 + -6

Combine like terms: -21 + -6 = -27
-9n = -27

Divide each side by '-9'.
n = 3

Simplifying
n = 3