2(9n-1)+60=-7(n+6)

Solution for 2(9n-1)+60=-7(n+6) equation:

Simplifying
2(9n + -1) + 60 = -7(n + 6)

Reorder the terms:
2(-1 + 9n) + 60 = -7(n + 6)
(-1 * 2 + 9n * 2) + 60 = -7(n + 6)
(-2 + 18n) + 60 = -7(n + 6)

Reorder the terms:
-2 + 60 + 18n = -7(n + 6)

Combine like terms: -2 + 60 = 58
58 + 18n = -7(n + 6)

Reorder the terms:
58 + 18n = -7(6 + n)
58 + 18n = (6 * -7 + n * -7)
58 + 18n = (-42 + -7n)

Solving
58 + 18n = -42 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
58 + 18n + 7n = -42 + -7n + 7n

Combine like terms: 18n + 7n = 25n
58 + 25n = -42 + -7n + 7n

Combine like terms: -7n + 7n = 0
58 + 25n = -42 + 0
58 + 25n = -42

Add '-58' to each side of the equation.
58 + -58 + 25n = -42 + -58

Combine like terms: 58 + -58 = 0
0 + 25n = -42 + -58
25n = -42 + -58

Combine like terms: -42 + -58 = -100
25n = -100

Divide each side by '25'.
n = -4

Simplifying
n = -4