3(n-1)+2(n+8)=4n

Solution for 3(n-1)+2(n+8)=4n equation:

Simplifying
3(n + -1) + 2(n + 8) = 4n

Reorder the terms:
3(-1 + n) + 2(n + 8) = 4n
(-1 * 3 + n * 3) + 2(n + 8) = 4n
(-3 + 3n) + 2(n + 8) = 4n

Reorder the terms:
-3 + 3n + 2(8 + n) = 4n
-3 + 3n + (8 * 2 + n * 2) = 4n
-3 + 3n + (16 + 2n) = 4n

Reorder the terms:
-3 + 16 + 3n + 2n = 4n

Combine like terms: -3 + 16 = 13
13 + 3n + 2n = 4n

Combine like terms: 3n + 2n = 5n
13 + 5n = 4n

Solving
13 + 5n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
13 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
13 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
13 + 1n = 0

Add '-13' to each side of the equation.
13 + -13 + 1n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 1n = 0 + -13
1n = 0 + -13

Combine like terms: 0 + -13 = -13
1n = -13

Divide each side by '1'.
n = -13

Simplifying
n = -13