0.025(4m-3)=0.05(10m-9)

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Solution for 0.025(4m-3)=0.05(10m-9) equation: 


Simplifying
0.025(4m + -3) = 0.05(10m + -9)

Reorder the terms:
0.025(-3 + 4m) = 0.05(10m + -9)
(-3 * 0.025 + 4m * 0.025) = 0.05(10m + -9)
(-0.075 + 0.1m) = 0.05(10m + -9)

Reorder the terms:
-0.075 + 0.1m = 0.05(-9 + 10m)
-0.075 + 0.1m = (-9 * 0.05 + 10m * 0.05)
-0.075 + 0.1m = (-0.45 + 0.5m)

Solving
-0.075 + 0.1m = -0.45 + 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.
-0.075 + 0.1m + -0.5m = -0.45 + 0.5m + -0.5m

Combine like terms: 0.1m + -0.5m = -0.4m
-0.075 + -0.4m = -0.45 + 0.5m + -0.5m

Combine like terms: 0.5m + -0.5m = 0.0
-0.075 + -0.4m = -0.45 + 0.0
-0.075 + -0.4m = -0.45

Add '0.075' to each side of the equation.
-0.075 + 0.075 + -0.4m = -0.45 + 0.075

Combine like terms: -0.075 + 0.075 = 0.000
0.000 + -0.4m = -0.45 + 0.075
-0.4m = -0.45 + 0.075

Combine like terms: -0.45 + 0.075 = -0.375
-0.4m = -0.375

Divide each side by '-0.4'.
m = 0.9375

Simplifying
m = 0.9375

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