6-(4-4n)+18n=-6+18(n+1)

Solution for 6-(4-4n)+18n=-6+18(n+1) equation:

Simplifying
6 + -1(4 + -4n) + 18n = -6 + 18(n + 1)
6 + (4 * -1 + -4n * -1) + 18n = -6 + 18(n + 1)
6 + (-4 + 4n) + 18n = -6 + 18(n + 1)

Combine like terms: 6 + -4 = 2
2 + 4n + 18n = -6 + 18(n + 1)

Combine like terms: 4n + 18n = 22n
2 + 22n = -6 + 18(n + 1)

Reorder the terms:
2 + 22n = -6 + 18(1 + n)
2 + 22n = -6 + (1 * 18 + n * 18)
2 + 22n = -6 + (18 + 18n)

Combine like terms: -6 + 18 = 12
2 + 22n = 12 + 18n

Solving
2 + 22n = 12 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
2 + 22n + -18n = 12 + 18n + -18n

Combine like terms: 22n + -18n = 4n
2 + 4n = 12 + 18n + -18n

Combine like terms: 18n + -18n = 0
2 + 4n = 12 + 0
2 + 4n = 12

Add '-2' to each side of the equation.
2 + -2 + 4n = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 12 + -2
4n = 12 + -2

Combine like terms: 12 + -2 = 10
4n = 10

Divide each side by '4'.
n = 2.5

Simplifying
n = 2.5