8-2(n+1)=-3n+1

Solution for 8-2(n+1)=-3n+1 equation:

Simplifying
8 + -2(n + 1) = -3n + 1

Reorder the terms:
8 + -2(1 + n) = -3n + 1
8 + (1 * -2 + n * -2) = -3n + 1
8 + (-2 + -2n) = -3n + 1

Combine like terms: 8 + -2 = 6
6 + -2n = -3n + 1

Reorder the terms:
6 + -2n = 1 + -3n

Solving
6 + -2n = 1 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
6 + -2n + 3n = 1 + -3n + 3n

Combine like terms: -2n + 3n = 1n
6 + 1n = 1 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 1n = 1 + 0
6 + 1n = 1

Add '-6' to each side of the equation.
6 + -6 + 1n = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 1 + -6
1n = 1 + -6

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

Divide each side by '1'.
n = -5

Simplifying
n = -5