5*(-2n+1)+3n=-23

Solution for 5*(-2n+1)+3n=-23 equation:

Simplifying
5(-2n + 1) + 3n = -23

Reorder the terms:
5(1 + -2n) + 3n = -23
(1 * 5 + -2n * 5) + 3n = -23
(5 + -10n) + 3n = -23

Combine like terms: -10n + 3n = -7n
5 + -7n = -23

Solving
5 + -7n = -23

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + -7n = -23 + -5

Combine like terms: 5 + -5 = 0
0 + -7n = -23 + -5
-7n = -23 + -5

Combine like terms: -23 + -5 = -28
-7n = -28

Divide each side by '-7'.
n = 4

Simplifying
n = 4