-6(n-3)+4(n+1)=

Solution for -6(n-3)+4(n+1)= equation:

Simplifying
-6(n + -3) + 4(n + 1) = 0

Reorder the terms:
-6(-3 + n) + 4(n + 1) = 0
(-3 * -6 + n * -6) + 4(n + 1) = 0
(18 + -6n) + 4(n + 1) = 0

Reorder the terms:
18 + -6n + 4(1 + n) = 0
18 + -6n + (1 * 4 + n * 4) = 0
18 + -6n + (4 + 4n) = 0

Reorder the terms:
18 + 4 + -6n + 4n = 0

Combine like terms: 18 + 4 = 22
22 + -6n + 4n = 0

Combine like terms: -6n + 4n = -2n
22 + -2n = 0

Solving
22 + -2n = 0

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -2n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -2n = 0 + -22
-2n = 0 + -22

Combine like terms: 0 + -22 = -22
-2n = -22

Divide each side by '-2'.
n = 11

Simplifying
n = 11