2(8+n)=3(n-6)

Solution for 2(8+n)=3(n-6) equation:

Simplifying
2(8 + n) = 3(n + -6)
(8 * 2 + n * 2) = 3(n + -6)
(16 + 2n) = 3(n + -6)

Reorder the terms:
16 + 2n = 3(-6 + n)
16 + 2n = (-6 * 3 + n * 3)
16 + 2n = (-18 + 3n)

Solving
16 + 2n = -18 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
16 + 2n + -3n = -18 + 3n + -3n

Combine like terms: 2n + -3n = -1n
16 + -1n = -18 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -1n = -18 + 0
16 + -1n = -18

Add '-16' to each side of the equation.
16 + -16 + -1n = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -18 + -16
-1n = -18 + -16

Combine like terms: -18 + -16 = -34
-1n = -34

Divide each side by '-1'.
n = 34

Simplifying
n = 34