0.45(m+25)=0.25(m+40)

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Solution for 0.45(m+25)=0.25(m+40) equation: 


Simplifying
0.45(m + 25) = 0.25(m + 40)

Reorder the terms:
0.45(25 + m) = 0.25(m + 40)
(25 * 0.45 + m * 0.45) = 0.25(m + 40)
(11.25 + 0.45m) = 0.25(m + 40)

Reorder the terms:
11.25 + 0.45m = 0.25(40 + m)
11.25 + 0.45m = (40 * 0.25 + m * 0.25)
11.25 + 0.45m = (10 + 0.25m)

Solving
11.25 + 0.45m = 10 + 0.25m

Solving for variable 'm'.

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

Add '-0.25m' to each side of the equation.
11.25 + 0.45m + -0.25m = 10 + 0.25m + -0.25m

Combine like terms: 0.45m + -0.25m = 0.2m
11.25 + 0.2m = 10 + 0.25m + -0.25m

Combine like terms: 0.25m + -0.25m = 0.00
11.25 + 0.2m = 10 + 0.00
11.25 + 0.2m = 10

Add '-11.25' to each side of the equation.
11.25 + -11.25 + 0.2m = 10 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 0.2m = 10 + -11.25
0.2m = 10 + -11.25

Combine like terms: 10 + -11.25 = -1.25
0.2m = -1.25

Divide each side by '0.2'.
m = -6.25

Simplifying
m = -6.25

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