0.02(4m-3)=0.05(10m-9)

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Solution for 0.02(4m-3)=0.05(10m-9) equation:


Simplifying
0.02(4m + -3) = 0.05(10m + -9)

Reorder the terms:
0.02(-3 + 4m) = 0.05(10m + -9)
(-3 * 0.02 + 4m * 0.02) = 0.05(10m + -9)
(-0.06 + 0.08m) = 0.05(10m + -9)

Reorder the terms:
-0.06 + 0.08m = 0.05(-9 + 10m)
-0.06 + 0.08m = (-9 * 0.05 + 10m * 0.05)
-0.06 + 0.08m = (-0.45 + 0.5m)

Solving
-0.06 + 0.08m = -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.
-0.06 + 0.08m + -0.5m = -0.45 + 0.5m + -0.5m

Combine like terms: 0.08m + -0.5m = -0.42m
-0.06 + -0.42m = -0.45 + 0.5m + -0.5m

Combine like terms: 0.5m + -0.5m = 0.0
-0.06 + -0.42m = -0.45 + 0.0
-0.06 + -0.42m = -0.45

Add '0.06' to each side of the equation.
-0.06 + 0.06 + -0.42m = -0.45 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + -0.42m = -0.45 + 0.06
-0.42m = -0.45 + 0.06

Combine like terms: -0.45 + 0.06 = -0.39
-0.42m = -0.39

Divide each side by '-0.42'.
m = 0.9285714286

Simplifying
m = 0.9285714286

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