-4(3m-9)+13(m-5)=14-8

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Solution for -4(3m-9)+13(m-5)=14-8 equation: 


Simplifying
-4(3m + -9) + 13(m + -5) = 14 + -8

Reorder the terms:
-4(-9 + 3m) + 13(m + -5) = 14 + -8
(-9 * -4 + 3m * -4) + 13(m + -5) = 14 + -8
(36 + -12m) + 13(m + -5) = 14 + -8

Reorder the terms:
36 + -12m + 13(-5 + m) = 14 + -8
36 + -12m + (-5 * 13 + m * 13) = 14 + -8
36 + -12m + (-65 + 13m) = 14 + -8

Reorder the terms:
36 + -65 + -12m + 13m = 14 + -8

Combine like terms: 36 + -65 = -29
-29 + -12m + 13m = 14 + -8

Combine like terms: -12m + 13m = 1m
-29 + 1m = 14 + -8

Combine like terms: 14 + -8 = 6
-29 + 1m = 6

Solving
-29 + 1m = 6

Solving for variable 'm'.

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

Add '29' to each side of the equation.
-29 + 29 + 1m = 6 + 29

Combine like terms: -29 + 29 = 0
0 + 1m = 6 + 29
1m = 6 + 29

Combine like terms: 6 + 29 = 35
1m = 35

Divide each side by '1'.
m = 35

Simplifying
m = 35

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