162=6(7n-1)

Solution for 162=6(7n-1) equation:

Simplifying
162 = 6(7n + -1)

Reorder the terms:
162 = 6(-1 + 7n)
162 = (-1 * 6 + 7n * 6)
162 = (-6 + 42n)

Solving
162 = -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.
162 + -42n = -6 + 42n + -42n

Combine like terms: 42n + -42n = 0
162 + -42n = -6 + 0
162 + -42n = -6

Add '-162' to each side of the equation.
162 + -162 + -42n = -6 + -162

Combine like terms: 162 + -162 = 0
0 + -42n = -6 + -162
-42n = -6 + -162

Combine like terms: -6 + -162 = -168
-42n = -168

Divide each side by '-42'.
n = 4

Simplifying
n = 4