8(n+5)+2(-3n+1)=32

Solution for 8(n+5)+2(-3n+1)=32 equation:

Simplifying
8(n + 5) + 2(-3n + 1) = 32

Reorder the terms:
8(5 + n) + 2(-3n + 1) = 32
(5 * 8 + n * 8) + 2(-3n + 1) = 32
(40 + 8n) + 2(-3n + 1) = 32

Reorder the terms:
40 + 8n + 2(1 + -3n) = 32
40 + 8n + (1 * 2 + -3n * 2) = 32
40 + 8n + (2 + -6n) = 32

Reorder the terms:
40 + 2 + 8n + -6n = 32

Combine like terms: 40 + 2 = 42
42 + 8n + -6n = 32

Combine like terms: 8n + -6n = 2n
42 + 2n = 32

Solving
42 + 2n = 32

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 2n = 32 + -42

Combine like terms: 42 + -42 = 0
0 + 2n = 32 + -42
2n = 32 + -42

Combine like terms: 32 + -42 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5