120=6(7n-1)

Solution for 120=6(7n-1) equation:

Simplifying
120 = 6(7n + -1)

Reorder the terms:
120 = 6(-1 + 7n)
120 = (-1 * 6 + 7n * 6)
120 = (-6 + 42n)

Solving
120 = -6 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
120 + -42n = -6 + 42n + -42n

Combine like terms: 42n + -42n = 0
120 + -42n = -6 + 0
120 + -42n = -6

Add '-120' to each side of the equation.
120 + -120 + -42n = -6 + -120

Combine like terms: 120 + -120 = 0
0 + -42n = -6 + -120
-42n = -6 + -120

Combine like terms: -6 + -120 = -126
-42n = -126

Divide each side by '-42'.
n = 3

Simplifying
n = 3