6(n-1)+2n+1=10+7n

Solution for 6(n-1)+2n+1=10+7n equation:

Simplifying
6(n + -1) + 2n + 1 = 10 + 7n

Reorder the terms:
6(-1 + n) + 2n + 1 = 10 + 7n
(-1 * 6 + n * 6) + 2n + 1 = 10 + 7n
(-6 + 6n) + 2n + 1 = 10 + 7n

Reorder the terms:
-6 + 1 + 6n + 2n = 10 + 7n

Combine like terms: -6 + 1 = -5
-5 + 6n + 2n = 10 + 7n

Combine like terms: 6n + 2n = 8n
-5 + 8n = 10 + 7n

Solving
-5 + 8n = 10 + 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.
-5 + 8n + -7n = 10 + 7n + -7n

Combine like terms: 8n + -7n = 1n
-5 + 1n = 10 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + 1n = 10 + 0
-5 + 1n = 10

Add '5' to each side of the equation.
-5 + 5 + 1n = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 1n = 10 + 5
1n = 10 + 5

Combine like terms: 10 + 5 = 15
1n = 15

Divide each side by '1'.
n = 15

Simplifying
n = 15