2(n-6)+5(2n+4)=32

Solution for 2(n-6)+5(2n+4)=32 equation:

Simplifying
2(n + -6) + 5(2n + 4) = 32

Reorder the terms:
2(-6 + n) + 5(2n + 4) = 32
(-6 * 2 + n * 2) + 5(2n + 4) = 32
(-12 + 2n) + 5(2n + 4) = 32

Reorder the terms:
-12 + 2n + 5(4 + 2n) = 32
-12 + 2n + (4 * 5 + 2n * 5) = 32
-12 + 2n + (20 + 10n) = 32

Reorder the terms:
-12 + 20 + 2n + 10n = 32

Combine like terms: -12 + 20 = 8
8 + 2n + 10n = 32

Combine like terms: 2n + 10n = 12n
8 + 12n = 32

Solving
8 + 12n = 32

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 12n = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 12n = 32 + -8
12n = 32 + -8

Combine like terms: 32 + -8 = 24
12n = 24

Divide each side by '12'.
n = 2

Simplifying
n = 2