13-(5m+7)=2+2m-17

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Solution for 13-(5m+7)=2+2m-17 equation:


Simplifying
13 + -1(5m + 7) = 2 + 2m + -17

Reorder the terms:
13 + -1(7 + 5m) = 2 + 2m + -17
13 + (7 * -1 + 5m * -1) = 2 + 2m + -17
13 + (-7 + -5m) = 2 + 2m + -17

Combine like terms: 13 + -7 = 6
6 + -5m = 2 + 2m + -17

Reorder the terms:
6 + -5m = 2 + -17 + 2m

Combine like terms: 2 + -17 = -15
6 + -5m = -15 + 2m

Solving
6 + -5m = -15 + 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.
6 + -5m + -2m = -15 + 2m + -2m

Combine like terms: -5m + -2m = -7m
6 + -7m = -15 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -7m = -15 + 0
6 + -7m = -15

Add '-6' to each side of the equation.
6 + -6 + -7m = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = -15 + -6
-7m = -15 + -6

Combine like terms: -15 + -6 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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