2(m-3)+8=3m-7

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Solution for 2(m-3)+8=3m-7 equation: 


Simplifying
2(m + -3) + 8 = 3m + -7

Reorder the terms:
2(-3 + m) + 8 = 3m + -7
(-3 * 2 + m * 2) + 8 = 3m + -7
(-6 + 2m) + 8 = 3m + -7

Reorder the terms:
-6 + 8 + 2m = 3m + -7

Combine like terms: -6 + 8 = 2
2 + 2m = 3m + -7

Reorder the terms:
2 + 2m = -7 + 3m

Solving
2 + 2m = -7 + 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.
2 + 2m + -3m = -7 + 3m + -3m

Combine like terms: 2m + -3m = -1m
2 + -1m = -7 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + -1m = -7 + 0
2 + -1m = -7

Add '-2' to each side of the equation.
2 + -2 + -1m = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = -7 + -2
-1m = -7 + -2

Combine like terms: -7 + -2 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9

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