7(n-3)-(6-2n)=8n

Solution for 7(n-3)-(6-2n)=8n equation:

Simplifying
7(n + -3) + -1(6 + -2n) = 8n

Reorder the terms:
7(-3 + n) + -1(6 + -2n) = 8n
(-3 * 7 + n * 7) + -1(6 + -2n) = 8n
(-21 + 7n) + -1(6 + -2n) = 8n
-21 + 7n + (6 * -1 + -2n * -1) = 8n
-21 + 7n + (-6 + 2n) = 8n

Reorder the terms:
-21 + -6 + 7n + 2n = 8n

Combine like terms: -21 + -6 = -27
-27 + 7n + 2n = 8n

Combine like terms: 7n + 2n = 9n
-27 + 9n = 8n

Solving
-27 + 9n = 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.
-27 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-27 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-27 + 1n = 0

Add '27' to each side of the equation.
-27 + 27 + 1n = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 1n = 0 + 27
1n = 0 + 27

Combine like terms: 0 + 27 = 27
1n = 27

Divide each side by '1'.
n = 27

Simplifying
n = 27