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

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


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

Reorder the terms:
1.8 + -0.3m = 0.4(8 + m)
1.8 + -0.3m = (8 * 0.4 + m * 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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