-6+5(1-3n)=89

Solution for -6+5(1-3n)=89 equation:

Simplifying
-6 + 5(1 + -3n) = 89
-6 + (1 * 5 + -3n * 5) = 89
-6 + (5 + -15n) = 89

Combine like terms: -6 + 5 = -1
-1 + -15n = 89

Solving
-1 + -15n = 89

Solving for variable 'n'.

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

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

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

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

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

Simplifying
n = -6