-6(n-2)+3(n+1)=

Solution for -6(n-2)+3(n+1)= equation:

Simplifying
-6(n + -2) + 3(n + 1) = 0

Reorder the terms:
-6(-2 + n) + 3(n + 1) = 0
(-2 * -6 + n * -6) + 3(n + 1) = 0
(12 + -6n) + 3(n + 1) = 0

Reorder the terms:
12 + -6n + 3(1 + n) = 0
12 + -6n + (1 * 3 + n * 3) = 0
12 + -6n + (3 + 3n) = 0

Reorder the terms:
12 + 3 + -6n + 3n = 0

Combine like terms: 12 + 3 = 15
15 + -6n + 3n = 0

Combine like terms: -6n + 3n = -3n
15 + -3n = 0

Solving
15 + -3n = 0

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + -3n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3n = 0 + -15
-3n = 0 + -15

Combine like terms: 0 + -15 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5