14-(2m+7)=2+3m-15

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Solution for 14-(2m+7)=2+3m-15 equation:


Simplifying
14 + -1(2m + 7) = 2 + 3m + -15

Reorder the terms:
14 + -1(7 + 2m) = 2 + 3m + -15
14 + (7 * -1 + 2m * -1) = 2 + 3m + -15
14 + (-7 + -2m) = 2 + 3m + -15

Combine like terms: 14 + -7 = 7
7 + -2m = 2 + 3m + -15

Reorder the terms:
7 + -2m = 2 + -15 + 3m

Combine like terms: 2 + -15 = -13
7 + -2m = -13 + 3m

Solving
7 + -2m = -13 + 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.
7 + -2m + -3m = -13 + 3m + -3m

Combine like terms: -2m + -3m = -5m
7 + -5m = -13 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + -5m = -13 + 0
7 + -5m = -13

Add '-7' to each side of the equation.
7 + -7 + -5m = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = -13 + -7
-5m = -13 + -7

Combine like terms: -13 + -7 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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