n-6+7n=40+2

Solution for n-6+7n=40+2 equation:

Simplifying
n + -6 + 7n = 40 + 2

Reorder the terms:
-6 + n + 7n = 40 + 2

Combine like terms: n + 7n = 8n
-6 + 8n = 40 + 2

Combine like terms: 40 + 2 = 42
-6 + 8n = 42

Solving
-6 + 8n = 42

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 8n = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8n = 42 + 6
8n = 42 + 6

Combine like terms: 42 + 6 = 48
8n = 48

Divide each side by '8'.
n = 6

Simplifying
n = 6