2(m-9)=3(4-m)

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Solution for 2(m-9)=3(4-m) equation:


Simplifying
2(m + -9) = 3(4 + -1m)

Reorder the terms:
2(-9 + m) = 3(4 + -1m)
(-9 * 2 + m * 2) = 3(4 + -1m)
(-18 + 2m) = 3(4 + -1m)
-18 + 2m = (4 * 3 + -1m * 3)
-18 + 2m = (12 + -3m)

Solving
-18 + 2m = 12 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-18 + 2m + 3m = 12 + -3m + 3m

Combine like terms: 2m + 3m = 5m
-18 + 5m = 12 + -3m + 3m

Combine like terms: -3m + 3m = 0
-18 + 5m = 12 + 0
-18 + 5m = 12

Add '18' to each side of the equation.
-18 + 18 + 5m = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 5m = 12 + 18
5m = 12 + 18

Combine like terms: 12 + 18 = 30
5m = 30

Divide each side by '5'.
m = 6

Simplifying
m = 6

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