-90=6(7n-1)

Solution for -90=6(7n-1) equation:

Simplifying
-90 = 6(7n + -1)

Reorder the terms:
-90 = 6(-1 + 7n)
-90 = (-1 * 6 + 7n * 6)
-90 = (-6 + 42n)

Solving
-90 = -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.
-90 + -42n = -6 + 42n + -42n

Combine like terms: 42n + -42n = 0
-90 + -42n = -6 + 0
-90 + -42n = -6

Add '90' to each side of the equation.
-90 + 90 + -42n = -6 + 90

Combine like terms: -90 + 90 = 0
0 + -42n = -6 + 90
-42n = -6 + 90

Combine like terms: -6 + 90 = 84
-42n = 84

Divide each side by '-42'.
n = -2

Simplifying
n = -2