-32=3+6(n+8)

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

Simplifying
-32 = 3 + 6(n + 8)

Reorder the terms:
-32 = 3 + 6(8 + n)
-32 = 3 + (8 * 6 + n * 6)
-32 = 3 + (48 + 6n)

Combine like terms: 3 + 48 = 51
-32 = 51 + 6n

Solving
-32 = 51 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-32 + -6n = 51 + 6n + -6n

Combine like terms: 6n + -6n = 0
-32 + -6n = 51 + 0
-32 + -6n = 51

Add '32' to each side of the equation.
-32 + 32 + -6n = 51 + 32

Combine like terms: -32 + 32 = 0
0 + -6n = 51 + 32
-6n = 51 + 32

Combine like terms: 51 + 32 = 83
-6n = 83

Divide each side by '-6'.
n = -13.83333333

Simplifying
n = -13.83333333