-3(3m-10)+10(m-5)=13-9

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Solution for -3(3m-10)+10(m-5)=13-9 equation: 


Simplifying
-3(3m + -10) + 10(m + -5) = 13 + -9

Reorder the terms:
-3(-10 + 3m) + 10(m + -5) = 13 + -9
(-10 * -3 + 3m * -3) + 10(m + -5) = 13 + -9
(30 + -9m) + 10(m + -5) = 13 + -9

Reorder the terms:
30 + -9m + 10(-5 + m) = 13 + -9
30 + -9m + (-5 * 10 + m * 10) = 13 + -9
30 + -9m + (-50 + 10m) = 13 + -9

Reorder the terms:
30 + -50 + -9m + 10m = 13 + -9

Combine like terms: 30 + -50 = -20
-20 + -9m + 10m = 13 + -9

Combine like terms: -9m + 10m = 1m
-20 + 1m = 13 + -9

Combine like terms: 13 + -9 = 4
-20 + 1m = 4

Solving
-20 + 1m = 4

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + 20 + 1m = 4 + 20

Combine like terms: -20 + 20 = 0
0 + 1m = 4 + 20
1m = 4 + 20

Combine like terms: 4 + 20 = 24
1m = 24

Divide each side by '1'.
m = 24

Simplifying
m = 24

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