-32+8n=6(1+4n)+3n

Solution for -32+8n=6(1+4n)+3n equation:

Simplifying
-32 + 8n = 6(1 + 4n) + 3n
-32 + 8n = (1 * 6 + 4n * 6) + 3n
-32 + 8n = (6 + 24n) + 3n

Combine like terms: 24n + 3n = 27n
-32 + 8n = 6 + 27n

Solving
-32 + 8n = 6 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
-32 + 8n + -27n = 6 + 27n + -27n

Combine like terms: 8n + -27n = -19n
-32 + -19n = 6 + 27n + -27n

Combine like terms: 27n + -27n = 0
-32 + -19n = 6 + 0
-32 + -19n = 6

Add '32' to each side of the equation.
-32 + 32 + -19n = 6 + 32

Combine like terms: -32 + 32 = 0
0 + -19n = 6 + 32
-19n = 6 + 32

Combine like terms: 6 + 32 = 38
-19n = 38

Divide each side by '-19'.
n = -2

Simplifying
n = -2