5n+4(-4-n)=-2(1+3n)

Solution for 5n+4(-4-n)=-2(1+3n) equation:

Simplifying
5n + 4(-4 + -1n) = -2(1 + 3n)
5n + (-4 * 4 + -1n * 4) = -2(1 + 3n)
5n + (-16 + -4n) = -2(1 + 3n)

Reorder the terms:
-16 + 5n + -4n = -2(1 + 3n)

Combine like terms: 5n + -4n = 1n
-16 + 1n = -2(1 + 3n)
-16 + 1n = (1 * -2 + 3n * -2)
-16 + 1n = (-2 + -6n)

Solving
-16 + 1n = -2 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-16 + 1n + 6n = -2 + -6n + 6n

Combine like terms: 1n + 6n = 7n
-16 + 7n = -2 + -6n + 6n

Combine like terms: -6n + 6n = 0
-16 + 7n = -2 + 0
-16 + 7n = -2

Add '16' to each side of the equation.
-16 + 16 + 7n = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 7n = -2 + 16
7n = -2 + 16

Combine like terms: -2 + 16 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2