(10m+7)-(5m-8)=

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Solution for (10m+7)-(5m-8)= equation:


Simplifying
(10m + 7) + -1(5m + -8) = 0

Reorder the terms:
(7 + 10m) + -1(5m + -8) = 0

Remove parenthesis around (7 + 10m)
7 + 10m + -1(5m + -8) = 0

Reorder the terms:
7 + 10m + -1(-8 + 5m) = 0
7 + 10m + (-8 * -1 + 5m * -1) = 0
7 + 10m + (8 + -5m) = 0

Reorder the terms:
7 + 8 + 10m + -5m = 0

Combine like terms: 7 + 8 = 15
15 + 10m + -5m = 0

Combine like terms: 10m + -5m = 5m
15 + 5m = 0

Solving
15 + 5m = 0

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + -15 + 5m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5m = 0 + -15
5m = 0 + -15

Combine like terms: 0 + -15 = -15
5m = -15

Divide each side by '5'.
m = -3

Simplifying
m = -3

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