-9m-3(5m+12)=9(-11-3m)

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Solution for -9m-3(5m+12)=9(-11-3m) equation:


Simplifying
-9m + -3(5m + 12) = 9(-11 + -3m)

Reorder the terms:
-9m + -3(12 + 5m) = 9(-11 + -3m)
-9m + (12 * -3 + 5m * -3) = 9(-11 + -3m)
-9m + (-36 + -15m) = 9(-11 + -3m)

Reorder the terms:
-36 + -9m + -15m = 9(-11 + -3m)

Combine like terms: -9m + -15m = -24m
-36 + -24m = 9(-11 + -3m)
-36 + -24m = (-11 * 9 + -3m * 9)
-36 + -24m = (-99 + -27m)

Solving
-36 + -24m = -99 + -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.
-36 + -24m + 27m = -99 + -27m + 27m

Combine like terms: -24m + 27m = 3m
-36 + 3m = -99 + -27m + 27m

Combine like terms: -27m + 27m = 0
-36 + 3m = -99 + 0
-36 + 3m = -99

Add '36' to each side of the equation.
-36 + 36 + 3m = -99 + 36

Combine like terms: -36 + 36 = 0
0 + 3m = -99 + 36
3m = -99 + 36

Combine like terms: -99 + 36 = -63
3m = -63

Divide each side by '3'.
m = -21

Simplifying
m = -21

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