0.4(3m+2)=0.75(m+5)

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Solution for 0.4(3m+2)=0.75(m+5) equation: 


Simplifying
0.4(3m + 2) = 0.75(m + 5)

Reorder the terms:
0.4(2 + 3m) = 0.75(m + 5)
(2 * 0.4 + 3m * 0.4) = 0.75(m + 5)
(0.8 + 1.2m) = 0.75(m + 5)

Reorder the terms:
0.8 + 1.2m = 0.75(5 + m)
0.8 + 1.2m = (5 * 0.75 + m * 0.75)
0.8 + 1.2m = (3.75 + 0.75m)

Solving
0.8 + 1.2m = 3.75 + 0.75m

Solving for variable 'm'.

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

Add '-0.75m' to each side of the equation.
0.8 + 1.2m + -0.75m = 3.75 + 0.75m + -0.75m

Combine like terms: 1.2m + -0.75m = 0.45m
0.8 + 0.45m = 3.75 + 0.75m + -0.75m

Combine like terms: 0.75m + -0.75m = 0.00
0.8 + 0.45m = 3.75 + 0.00
0.8 + 0.45m = 3.75

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.45m = 3.75 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.45m = 3.75 + -0.8
0.45m = 3.75 + -0.8

Combine like terms: 3.75 + -0.8 = 2.95
0.45m = 2.95

Divide each side by '0.45'.
m = 6.555555556

Simplifying
m = 6.555555556

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