-5(3m+6)=-3(4m-3)

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Solution for -5(3m+6)=-3(4m-3) equation:


Simplifying
-5(3m + 6) = -3(4m + -3)

Reorder the terms:
-5(6 + 3m) = -3(4m + -3)
(6 * -5 + 3m * -5) = -3(4m + -3)
(-30 + -15m) = -3(4m + -3)

Reorder the terms:
-30 + -15m = -3(-3 + 4m)
-30 + -15m = (-3 * -3 + 4m * -3)
-30 + -15m = (9 + -12m)

Solving
-30 + -15m = 9 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
-30 + -15m + 12m = 9 + -12m + 12m

Combine like terms: -15m + 12m = -3m
-30 + -3m = 9 + -12m + 12m

Combine like terms: -12m + 12m = 0
-30 + -3m = 9 + 0
-30 + -3m = 9

Add '30' to each side of the equation.
-30 + 30 + -3m = 9 + 30

Combine like terms: -30 + 30 = 0
0 + -3m = 9 + 30
-3m = 9 + 30

Combine like terms: 9 + 30 = 39
-3m = 39

Divide each side by '-3'.
m = -13

Simplifying
m = -13

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