0.3(6+m)=0.5(8-m)

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Solution for 0.3(6+m)=0.5(8-m) equation: 


Simplifying
0.3(6 + m) = 0.5(8 + -1m)
(6 * 0.3 + m * 0.3) = 0.5(8 + -1m)
(1.8 + 0.3m) = 0.5(8 + -1m)
1.8 + 0.3m = (8 * 0.5 + -1m * 0.5)
1.8 + 0.3m = (4 + -0.5m)

Solving
1.8 + 0.3m = 4 + -0.5m

Solving for variable 'm'.

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

Add '0.5m' to each side of the equation.
1.8 + 0.3m + 0.5m = 4 + -0.5m + 0.5m

Combine like terms: 0.3m + 0.5m = 0.8m
1.8 + 0.8m = 4 + -0.5m + 0.5m

Combine like terms: -0.5m + 0.5m = 0.0
1.8 + 0.8m = 4 + 0.0
1.8 + 0.8m = 4

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.8m = 4 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.8m = 4 + -1.8
0.8m = 4 + -1.8

Combine like terms: 4 + -1.8 = 2.2
0.8m = 2.2

Divide each side by '0.8'.
m = 2.75

Simplifying
m = 2.75

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