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

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

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

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

Reorder the terms:
2 + 6n = 6 + 7(-8 + n)
2 + 6n = 6 + (-8 * 7 + n * 7)
2 + 6n = 6 + (-56 + 7n)

Combine like terms: 6 + -56 = -50
2 + 6n = -50 + 7n

Solving
2 + 6n = -50 + 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.
2 + 6n + -7n = -50 + 7n + -7n

Combine like terms: 6n + -7n = -1n
2 + -1n = -50 + 7n + -7n

Combine like terms: 7n + -7n = 0
2 + -1n = -50 + 0
2 + -1n = -50

Add '-2' to each side of the equation.
2 + -2 + -1n = -50 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = -50 + -2
-1n = -50 + -2

Combine like terms: -50 + -2 = -52
-1n = -52

Divide each side by '-1'.
n = 52

Simplifying
n = 52