-6=3(2+6m)+m

Solution for -6=3(2+6m)+m equation:

Simplifying
-6 = 3(2 + 6m) + m
-6 = (2 * 3 + 6m * 3) + m
-6 = (6 + 18m) + m

Combine like terms: 18m + m = 19m
-6 = 6 + 19m

Solving
-6 = 6 + 19m

Solving for variable 'm'.

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

Add '-19m' to each side of the equation.
-6 + -19m = 6 + 19m + -19m

Combine like terms: 19m + -19m = 0
-6 + -19m = 6 + 0
-6 + -19m = 6

Add '6' to each side of the equation.
-6 + 6 + -19m = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -19m = 6 + 6
-19m = 6 + 6

Combine like terms: 6 + 6 = 12
-19m = 12

Divide each side by '-19'.
m = -0.6315789474

Simplifying
m = -0.6315789474