3m-2(m+7)=2m+14

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Solution for 3m-2(m+7)=2m+14 equation:


Simplifying
3m + -2(m + 7) = 2m + 14

Reorder the terms:
3m + -2(7 + m) = 2m + 14
3m + (7 * -2 + m * -2) = 2m + 14
3m + (-14 + -2m) = 2m + 14

Reorder the terms:
-14 + 3m + -2m = 2m + 14

Combine like terms: 3m + -2m = 1m
-14 + 1m = 2m + 14

Reorder the terms:
-14 + 1m = 14 + 2m

Solving
-14 + 1m = 14 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-14 + 1m + -2m = 14 + 2m + -2m

Combine like terms: 1m + -2m = -1m
-14 + -1m = 14 + 2m + -2m

Combine like terms: 2m + -2m = 0
-14 + -1m = 14 + 0
-14 + -1m = 14

Add '14' to each side of the equation.
-14 + 14 + -1m = 14 + 14

Combine like terms: -14 + 14 = 0
0 + -1m = 14 + 14
-1m = 14 + 14

Combine like terms: 14 + 14 = 28
-1m = 28

Divide each side by '-1'.
m = -28

Simplifying
m = -28

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