9(11-m)=3(3m-9)

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


Simplifying
9(11 + -1m) = 3(3m + -9)
(11 * 9 + -1m * 9) = 3(3m + -9)
(99 + -9m) = 3(3m + -9)

Reorder the terms:
99 + -9m = 3(-9 + 3m)
99 + -9m = (-9 * 3 + 3m * 3)
99 + -9m = (-27 + 9m)

Solving
99 + -9m = -27 + 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.
99 + -9m + -9m = -27 + 9m + -9m

Combine like terms: -9m + -9m = -18m
99 + -18m = -27 + 9m + -9m

Combine like terms: 9m + -9m = 0
99 + -18m = -27 + 0
99 + -18m = -27

Add '-99' to each side of the equation.
99 + -99 + -18m = -27 + -99

Combine like terms: 99 + -99 = 0
0 + -18m = -27 + -99
-18m = -27 + -99

Combine like terms: -27 + -99 = -126
-18m = -126

Divide each side by '-18'.
m = 7

Simplifying
m = 7

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