7(-6+2n)=-6+17n

Solution for 7(-6+2n)=-6+17n equation:

Simplifying
7(-6 + 2n) = -6 + 17n
(-6 * 7 + 2n * 7) = -6 + 17n
(-42 + 14n) = -6 + 17n

Solving
-42 + 14n = -6 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
-42 + 14n + -17n = -6 + 17n + -17n

Combine like terms: 14n + -17n = -3n
-42 + -3n = -6 + 17n + -17n

Combine like terms: 17n + -17n = 0
-42 + -3n = -6 + 0
-42 + -3n = -6

Add '42' to each side of the equation.
-42 + 42 + -3n = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -3n = -6 + 42
-3n = -6 + 42

Combine like terms: -6 + 42 = 36
-3n = 36

Divide each side by '-3'.
n = -12

Simplifying
n = -12