5(4+m)-3(3m-1)=-9

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Solution for 5(4+m)-3(3m-1)=-9 equation: 


Simplifying
5(4 + m) + -3(3m + -1) = -9
(4 * 5 + m * 5) + -3(3m + -1) = -9
(20 + 5m) + -3(3m + -1) = -9

Reorder the terms:
20 + 5m + -3(-1 + 3m) = -9
20 + 5m + (-1 * -3 + 3m * -3) = -9
20 + 5m + (3 + -9m) = -9

Reorder the terms:
20 + 3 + 5m + -9m = -9

Combine like terms: 20 + 3 = 23
23 + 5m + -9m = -9

Combine like terms: 5m + -9m = -4m
23 + -4m = -9

Solving
23 + -4m = -9

Solving for variable 'm'.

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

Add '-23' to each side of the equation.
23 + -23 + -4m = -9 + -23

Combine like terms: 23 + -23 = 0
0 + -4m = -9 + -23
-4m = -9 + -23

Combine like terms: -9 + -23 = -32
-4m = -32

Divide each side by '-4'.
m = 8

Simplifying
m = 8

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