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

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

Simplifying
4(n + 6) + -1(6 + 5n) = -2n

Reorder the terms:
4(6 + n) + -1(6 + 5n) = -2n
(6 * 4 + n * 4) + -1(6 + 5n) = -2n
(24 + 4n) + -1(6 + 5n) = -2n
24 + 4n + (6 * -1 + 5n * -1) = -2n
24 + 4n + (-6 + -5n) = -2n

Reorder the terms:
24 + -6 + 4n + -5n = -2n

Combine like terms: 24 + -6 = 18
18 + 4n + -5n = -2n

Combine like terms: 4n + -5n = -1n
18 + -1n = -2n

Solving
18 + -1n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
18 + -1n + 2n = -2n + 2n

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

Combine like terms: -2n + 2n = 0
18 + 1n = 0

Add '-18' to each side of the equation.
18 + -18 + 1n = 0 + -18

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

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

Divide each side by '1'.
n = -18

Simplifying
n = -18