0.5(m-2)+0.6(m+3)=0.5(2m-4)

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Solution for 0.5(m-2)+0.6(m+3)=0.5(2m-4) equation: 


Simplifying
0.5(m + -2) + 0.6(m + 3) = 0.5(2m + -4)

Reorder the terms:
0.5(-2 + m) + 0.6(m + 3) = 0.5(2m + -4)
(-2 * 0.5 + m * 0.5) + 0.6(m + 3) = 0.5(2m + -4)
(-1 + 0.5m) + 0.6(m + 3) = 0.5(2m + -4)

Reorder the terms:
-1 + 0.5m + 0.6(3 + m) = 0.5(2m + -4)
-1 + 0.5m + (3 * 0.6 + m * 0.6) = 0.5(2m + -4)
-1 + 0.5m + (1.8 + 0.6m) = 0.5(2m + -4)

Reorder the terms:
-1 + 1.8 + 0.5m + 0.6m = 0.5(2m + -4)

Combine like terms: -1 + 1.8 = 0.8
0.8 + 0.5m + 0.6m = 0.5(2m + -4)

Combine like terms: 0.5m + 0.6m = 1.1m
0.8 + 1.1m = 0.5(2m + -4)

Reorder the terms:
0.8 + 1.1m = 0.5(-4 + 2m)
0.8 + 1.1m = (-4 * 0.5 + 2m * 0.5)
0.8 + 1.1m = (-2 + 1m)

Solving
0.8 + 1.1m = -2 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
0.8 + 1.1m + -1m = -2 + 1m + -1m

Combine like terms: 1.1m + -1m = 0.1m
0.8 + 0.1m = -2 + 1m + -1m

Combine like terms: 1m + -1m = 0
0.8 + 0.1m = -2 + 0
0.8 + 0.1m = -2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.1m = -2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.1m = -2 + -0.8
0.1m = -2 + -0.8

Combine like terms: -2 + -0.8 = -2.8
0.1m = -2.8

Divide each side by '0.1'.
m = -28

Simplifying
m = -28

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