4n-6(1-n)=4(2n+3)

Solution for 4n-6(1-n)=4(2n+3) equation:

Simplifying
4n + -6(1 + -1n) = 4(2n + 3)
4n + (1 * -6 + -1n * -6) = 4(2n + 3)
4n + (-6 + 6n) = 4(2n + 3)

Reorder the terms:
-6 + 4n + 6n = 4(2n + 3)

Combine like terms: 4n + 6n = 10n
-6 + 10n = 4(2n + 3)

Reorder the terms:
-6 + 10n = 4(3 + 2n)
-6 + 10n = (3 * 4 + 2n * 4)
-6 + 10n = (12 + 8n)

Solving
-6 + 10n = 12 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-6 + 10n + -8n = 12 + 8n + -8n

Combine like terms: 10n + -8n = 2n
-6 + 2n = 12 + 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + 2n = 12 + 0
-6 + 2n = 12

Add '6' to each side of the equation.
-6 + 6 + 2n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 12 + 6
2n = 12 + 6

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

Divide each side by '2'.
n = 9

Simplifying
n = 9