.50(18m-16)=3(2m+4)

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Solution for .50(18m-16)=3(2m+4) equation:


Simplifying
0.50(18m + -16) = 3(2m + 4)

Reorder the terms:
0.50(-16 + 18m) = 3(2m + 4)
(-16 * 0.50 + 18m * 0.50) = 3(2m + 4)
(-8 + 9m) = 3(2m + 4)

Reorder the terms:
-8 + 9m = 3(4 + 2m)
-8 + 9m = (4 * 3 + 2m * 3)
-8 + 9m = (12 + 6m)

Solving
-8 + 9m = 12 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-8 + 9m + -6m = 12 + 6m + -6m

Combine like terms: 9m + -6m = 3m
-8 + 3m = 12 + 6m + -6m

Combine like terms: 6m + -6m = 0
-8 + 3m = 12 + 0
-8 + 3m = 12

Add '8' to each side of the equation.
-8 + 8 + 3m = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 3m = 12 + 8
3m = 12 + 8

Combine like terms: 12 + 8 = 20
3m = 20

Divide each side by '3'.
m = 6.666666667

Simplifying
m = 6.666666667

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