-89=3(1+5n)-2

Solution for -89=3(1+5n)-2 equation:

Simplifying
-89 = 3(1 + 5n) + -2
-89 = (1 * 3 + 5n * 3) + -2
-89 = (3 + 15n) + -2

Reorder the terms:
-89 = 3 + -2 + 15n

Combine like terms: 3 + -2 = 1
-89 = 1 + 15n

Solving
-89 = 1 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-89 + -15n = 1 + 15n + -15n

Combine like terms: 15n + -15n = 0
-89 + -15n = 1 + 0
-89 + -15n = 1

Add '89' to each side of the equation.
-89 + 89 + -15n = 1 + 89

Combine like terms: -89 + 89 = 0
0 + -15n = 1 + 89
-15n = 1 + 89

Combine like terms: 1 + 89 = 90
-15n = 90

Divide each side by '-15'.
n = -6

Simplifying
n = -6