-3(6+8m)=12-9(3m+5)

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Solution for -3(6+8m)=12-9(3m+5) equation: 


Simplifying
-3(6 + 8m) = 12 + -9(3m + 5)
(6 * -3 + 8m * -3) = 12 + -9(3m + 5)
(-18 + -24m) = 12 + -9(3m + 5)

Reorder the terms:
-18 + -24m = 12 + -9(5 + 3m)
-18 + -24m = 12 + (5 * -9 + 3m * -9)
-18 + -24m = 12 + (-45 + -27m)

Combine like terms: 12 + -45 = -33
-18 + -24m = -33 + -27m

Solving
-18 + -24m = -33 + -27m

Solving for variable 'm'.

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

Add '27m' to each side of the equation.
-18 + -24m + 27m = -33 + -27m + 27m

Combine like terms: -24m + 27m = 3m
-18 + 3m = -33 + -27m + 27m

Combine like terms: -27m + 27m = 0
-18 + 3m = -33 + 0
-18 + 3m = -33

Add '18' to each side of the equation.
-18 + 18 + 3m = -33 + 18

Combine like terms: -18 + 18 = 0
0 + 3m = -33 + 18
3m = -33 + 18

Combine like terms: -33 + 18 = -15
3m = -15

Divide each side by '3'.
m = -5

Simplifying
m = -5

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