4(5-3m)+7m=-9-(9m-5)

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Solution for 4(5-3m)+7m=-9-(9m-5) equation: 


Simplifying
4(5 + -3m) + 7m = -9 + -1(9m + -5)
(5 * 4 + -3m * 4) + 7m = -9 + -1(9m + -5)
(20 + -12m) + 7m = -9 + -1(9m + -5)

Combine like terms: -12m + 7m = -5m
20 + -5m = -9 + -1(9m + -5)

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

Combine like terms: -9 + 5 = -4
20 + -5m = -4 + -9m

Solving
20 + -5m = -4 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
20 + -5m + 9m = -4 + -9m + 9m

Combine like terms: -5m + 9m = 4m
20 + 4m = -4 + -9m + 9m

Combine like terms: -9m + 9m = 0
20 + 4m = -4 + 0
20 + 4m = -4

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

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

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

Divide each side by '4'.
m = -6

Simplifying
m = -6

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