6(n+1)-(9-2n)=7n

Solution for 6(n+1)-(9-2n)=7n equation:

Simplifying
6(n + 1) + -1(9 + -2n) = 7n

Reorder the terms:
6(1 + n) + -1(9 + -2n) = 7n
(1 * 6 + n * 6) + -1(9 + -2n) = 7n
(6 + 6n) + -1(9 + -2n) = 7n
6 + 6n + (9 * -1 + -2n * -1) = 7n
6 + 6n + (-9 + 2n) = 7n

Reorder the terms:
6 + -9 + 6n + 2n = 7n

Combine like terms: 6 + -9 = -3
-3 + 6n + 2n = 7n

Combine like terms: 6n + 2n = 8n
-3 + 8n = 7n

Solving
-3 + 8n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-3 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-3 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-3 + 1n = 0

Add '3' to each side of the equation.
-3 + 3 + 1n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1n = 0 + 3
1n = 0 + 3

Combine like terms: 0 + 3 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3