-5(3m-10)+16(m-5)=13-9

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Solution for -5(3m-10)+16(m-5)=13-9 equation:


Simplifying
-5(3m + -10) + 16(m + -5) = 13 + -9

Reorder the terms:
-5(-10 + 3m) + 16(m + -5) = 13 + -9
(-10 * -5 + 3m * -5) + 16(m + -5) = 13 + -9
(50 + -15m) + 16(m + -5) = 13 + -9

Reorder the terms:
50 + -15m + 16(-5 + m) = 13 + -9
50 + -15m + (-5 * 16 + m * 16) = 13 + -9
50 + -15m + (-80 + 16m) = 13 + -9

Reorder the terms:
50 + -80 + -15m + 16m = 13 + -9

Combine like terms: 50 + -80 = -30
-30 + -15m + 16m = 13 + -9

Combine like terms: -15m + 16m = 1m
-30 + 1m = 13 + -9

Combine like terms: 13 + -9 = 4
-30 + 1m = 4

Solving
-30 + 1m = 4

Solving for variable 'm'.

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

Add '30' to each side of the equation.
-30 + 30 + 1m = 4 + 30

Combine like terms: -30 + 30 = 0
0 + 1m = 4 + 30
1m = 4 + 30

Combine like terms: 4 + 30 = 34
1m = 34

Divide each side by '1'.
m = 34

Simplifying
m = 34

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