15-(3m+7)=2+2m-19

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Solution for 15-(3m+7)=2+2m-19 equation:


Simplifying
15 + -1(3m + 7) = 2 + 2m + -19

Reorder the terms:
15 + -1(7 + 3m) = 2 + 2m + -19
15 + (7 * -1 + 3m * -1) = 2 + 2m + -19
15 + (-7 + -3m) = 2 + 2m + -19

Combine like terms: 15 + -7 = 8
8 + -3m = 2 + 2m + -19

Reorder the terms:
8 + -3m = 2 + -19 + 2m

Combine like terms: 2 + -19 = -17
8 + -3m = -17 + 2m

Solving
8 + -3m = -17 + 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.
8 + -3m + -2m = -17 + 2m + -2m

Combine like terms: -3m + -2m = -5m
8 + -5m = -17 + 2m + -2m

Combine like terms: 2m + -2m = 0
8 + -5m = -17 + 0
8 + -5m = -17

Add '-8' to each side of the equation.
8 + -8 + -5m = -17 + -8

Combine like terms: 8 + -8 = 0
0 + -5m = -17 + -8
-5m = -17 + -8

Combine like terms: -17 + -8 = -25
-5m = -25

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

Simplifying
m = 5

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