88=-5+3(1+5n)

Solution for 88=-5+3(1+5n) equation:

Simplifying
88 = -5 + 3(1 + 5n)
88 = -5 + (1 * 3 + 5n * 3)
88 = -5 + (3 + 15n)

Combine like terms: -5 + 3 = -2
88 = -2 + 15n

Solving
88 = -2 + 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.
88 + -15n = -2 + 15n + -15n

Combine like terms: 15n + -15n = 0
88 + -15n = -2 + 0
88 + -15n = -2

Add '-88' to each side of the equation.
88 + -88 + -15n = -2 + -88

Combine like terms: 88 + -88 = 0
0 + -15n = -2 + -88
-15n = -2 + -88

Combine like terms: -2 + -88 = -90
-15n = -90

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

Simplifying
n = 6