6(3m+1)=19m

Solution for 6(3m+1)=19m equation:

Simplifying
6(3m + 1) = 19m

Reorder the terms:
6(1 + 3m) = 19m
(1 * 6 + 3m * 6) = 19m
(6 + 18m) = 19m

Solving
6 + 18m = 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 + 18m + -19m = 19m + -19m

Combine like terms: 18m + -19m = -1m
6 + -1m = 19m + -19m

Combine like terms: 19m + -19m = 0
6 + -1m = 0

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6