6(1+3n)=-26+2n

Solution for 6(1+3n)=-26+2n equation:

Simplifying
6(1 + 3n) = -26 + 2n
(1 * 6 + 3n * 6) = -26 + 2n
(6 + 18n) = -26 + 2n

Solving
6 + 18n = -26 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 18n + -2n = -26 + 2n + -2n

Combine like terms: 18n + -2n = 16n
6 + 16n = -26 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 16n = -26 + 0
6 + 16n = -26

Add '-6' to each side of the equation.
6 + -6 + 16n = -26 + -6

Combine like terms: 6 + -6 = 0
0 + 16n = -26 + -6
16n = -26 + -6

Combine like terms: -26 + -6 = -32
16n = -32

Divide each side by '16'.
n = -2

Simplifying
n = -2