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

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


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

Reorder the terms:
3(7 + m) + 2 = 6m + -2 + 2m
(7 * 3 + m * 3) + 2 = 6m + -2 + 2m
(21 + 3m) + 2 = 6m + -2 + 2m

Reorder the terms:
21 + 2 + 3m = 6m + -2 + 2m

Combine like terms: 21 + 2 = 23
23 + 3m = 6m + -2 + 2m

Reorder the terms:
23 + 3m = -2 + 6m + 2m

Combine like terms: 6m + 2m = 8m
23 + 3m = -2 + 8m

Solving
23 + 3m = -2 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
23 + 3m + -8m = -2 + 8m + -8m

Combine like terms: 3m + -8m = -5m
23 + -5m = -2 + 8m + -8m

Combine like terms: 8m + -8m = 0
23 + -5m = -2 + 0
23 + -5m = -2

Add '-23' to each side of the equation.
23 + -23 + -5m = -2 + -23

Combine like terms: 23 + -23 = 0
0 + -5m = -2 + -23
-5m = -2 + -23

Combine like terms: -2 + -23 = -25
-5m = -25

Divide each side by '-5'.
m = 5

Simplifying
m = 5

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