6(3m-1)+3(2m+3)=1-7m

Solution for 6(3m-1)+3(2m+3)=1-7m equation:

Simplifying
6(3m + -1) + 3(2m + 3) = 1 + -7m

Reorder the terms:
6(-1 + 3m) + 3(2m + 3) = 1 + -7m
(-1 * 6 + 3m * 6) + 3(2m + 3) = 1 + -7m
(-6 + 18m) + 3(2m + 3) = 1 + -7m

Reorder the terms:
-6 + 18m + 3(3 + 2m) = 1 + -7m
-6 + 18m + (3 * 3 + 2m * 3) = 1 + -7m
-6 + 18m + (9 + 6m) = 1 + -7m

Reorder the terms:
-6 + 9 + 18m + 6m = 1 + -7m

Combine like terms: -6 + 9 = 3
3 + 18m + 6m = 1 + -7m

Combine like terms: 18m + 6m = 24m
3 + 24m = 1 + -7m

Solving
3 + 24m = 1 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
3 + 24m + 7m = 1 + -7m + 7m

Combine like terms: 24m + 7m = 31m
3 + 31m = 1 + -7m + 7m

Combine like terms: -7m + 7m = 0
3 + 31m = 1 + 0
3 + 31m = 1

Add '-3' to each side of the equation.
3 + -3 + 31m = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 31m = 1 + -3
31m = 1 + -3

Combine like terms: 1 + -3 = -2
31m = -2

Divide each side by '31'.
m = -0.06451612903

Simplifying
m = -0.06451612903