.5(4m+8)=0.333(3m-3)

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Solution for .5(4m+8)=0.333(3m-3) equation: 


Simplifying
0.5(4m + 8) = 0.333(3m + -3)

Reorder the terms:
0.5(8 + 4m) = 0.333(3m + -3)
(8 * 0.5 + 4m * 0.5) = 0.333(3m + -3)
(4 + 2m) = 0.333(3m + -3)

Reorder the terms:
4 + 2m = 0.333(-3 + 3m)
4 + 2m = (-3 * 0.333 + 3m * 0.333)
4 + 2m = (-0.999 + 0.999m)

Solving
4 + 2m = -0.999 + 0.999m

Solving for variable 'm'.

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

Add '-0.999m' to each side of the equation.
4 + 2m + -0.999m = -0.999 + 0.999m + -0.999m

Combine like terms: 2m + -0.999m = 1.001m
4 + 1.001m = -0.999 + 0.999m + -0.999m

Combine like terms: 0.999m + -0.999m = 0.000
4 + 1.001m = -0.999 + 0.000
4 + 1.001m = -0.999

Add '-4' to each side of the equation.
4 + -4 + 1.001m = -0.999 + -4

Combine like terms: 4 + -4 = 0
0 + 1.001m = -0.999 + -4
1.001m = -0.999 + -4

Combine like terms: -0.999 + -4 = -4.999
1.001m = -4.999

Divide each side by '1.001'.
m = -4.994005994

Simplifying
m = -4.994005994

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