13+5m=8m-7(-3m+5)

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Solution for 13+5m=8m-7(-3m+5) equation:


Simplifying
13 + 5m = 8m + -7(-3m + 5)

Reorder the terms:
13 + 5m = 8m + -7(5 + -3m)
13 + 5m = 8m + (5 * -7 + -3m * -7)
13 + 5m = 8m + (-35 + 21m)

Reorder the terms:
13 + 5m = -35 + 8m + 21m

Combine like terms: 8m + 21m = 29m
13 + 5m = -35 + 29m

Solving
13 + 5m = -35 + 29m

Solving for variable 'm'.

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

Add '-29m' to each side of the equation.
13 + 5m + -29m = -35 + 29m + -29m

Combine like terms: 5m + -29m = -24m
13 + -24m = -35 + 29m + -29m

Combine like terms: 29m + -29m = 0
13 + -24m = -35 + 0
13 + -24m = -35

Add '-13' to each side of the equation.
13 + -13 + -24m = -35 + -13

Combine like terms: 13 + -13 = 0
0 + -24m = -35 + -13
-24m = -35 + -13

Combine like terms: -35 + -13 = -48
-24m = -48

Divide each side by '-24'.
m = 2

Simplifying
m = 2

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