32+2n=4n-6n

Solution for 32+2n=4n-6n equation:

Simplifying
32 + 2n = 4n + -6n

Combine like terms: 4n + -6n = -2n
32 + 2n = -2n

Solving
32 + 2n = -2n

Solving for variable 'n'.

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

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

Combine like terms: 2n + 2n = 4n
32 + 4n = -2n + 2n

Combine like terms: -2n + 2n = 0
32 + 4n = 0

Add '-32' to each side of the equation.
32 + -32 + 4n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 4n = 0 + -32
4n = 0 + -32

Combine like terms: 0 + -32 = -32
4n = -32

Divide each side by '4'.
n = -8

Simplifying
n = -8