0.3(6+m)=0.4(8-m)

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Solution for 0.3(6+m)=0.4(8-m) equation: 


Simplifying
0.3(6 + m) = 0.4(8 + -1m)
(6 * 0.3 + m * 0.3) = 0.4(8 + -1m)
(1.8 + 0.3m) = 0.4(8 + -1m)
1.8 + 0.3m = (8 * 0.4 + -1m * 0.4)
1.8 + 0.3m = (3.2 + -0.4m)

Solving
1.8 + 0.3m = 3.2 + -0.4m

Solving for variable 'm'.

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

Add '0.4m' to each side of the equation.
1.8 + 0.3m + 0.4m = 3.2 + -0.4m + 0.4m

Combine like terms: 0.3m + 0.4m = 0.7m
1.8 + 0.7m = 3.2 + -0.4m + 0.4m

Combine like terms: -0.4m + 0.4m = 0.0
1.8 + 0.7m = 3.2 + 0.0
1.8 + 0.7m = 3.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.7m = 3.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.7m = 3.2 + -1.8
0.7m = 3.2 + -1.8

Combine like terms: 3.2 + -1.8 = 1.4
0.7m = 1.4

Divide each side by '0.7'.
m = 2

Simplifying
m = 2

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