6(2m-3)-3m=2m+8+m

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Solution for 6(2m-3)-3m=2m+8+m equation:


Simplifying
6(2m + -3) + -3m = 2m + 8 + m

Reorder the terms:
6(-3 + 2m) + -3m = 2m + 8 + m
(-3 * 6 + 2m * 6) + -3m = 2m + 8 + m
(-18 + 12m) + -3m = 2m + 8 + m

Combine like terms: 12m + -3m = 9m
-18 + 9m = 2m + 8 + m

Reorder the terms:
-18 + 9m = 8 + 2m + m

Combine like terms: 2m + m = 3m
-18 + 9m = 8 + 3m

Solving
-18 + 9m = 8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-18 + 9m + -3m = 8 + 3m + -3m

Combine like terms: 9m + -3m = 6m
-18 + 6m = 8 + 3m + -3m

Combine like terms: 3m + -3m = 0
-18 + 6m = 8 + 0
-18 + 6m = 8

Add '18' to each side of the equation.
-18 + 18 + 6m = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 6m = 8 + 18
6m = 8 + 18

Combine like terms: 8 + 18 = 26
6m = 26

Divide each side by '6'.
m = 4.333333333

Simplifying
m = 4.333333333

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