0.4(0.1m-0.1)+0.5=-0.1(0.1-0.4m)

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Solution for 0.4(0.1m-0.1)+0.5=-0.1(0.1-0.4m) equation: 


Simplifying
0.4(0.1m + -0.1) + 0.5 = -0.1(0.1 + -0.4m)

Reorder the terms:
0.4(-0.1 + 0.1m) + 0.5 = -0.1(0.1 + -0.4m)
(-0.1 * 0.4 + 0.1m * 0.4) + 0.5 = -0.1(0.1 + -0.4m)
(-0.04 + 0.04m) + 0.5 = -0.1(0.1 + -0.4m)

Reorder the terms:
-0.04 + 0.5 + 0.04m = -0.1(0.1 + -0.4m)

Combine like terms: -0.04 + 0.5 = 0.46
0.46 + 0.04m = -0.1(0.1 + -0.4m)
0.46 + 0.04m = (0.1 * -0.1 + -0.4m * -0.1)
0.46 + 0.04m = (-0.01 + 0.04m)

Add '-0.04m' to each side of the equation.
0.46 + 0.04m + -0.04m = -0.01 + 0.04m + -0.04m

Combine like terms: 0.04m + -0.04m = 0.00
0.46 + 0.00 = -0.01 + 0.04m + -0.04m
0.46 = -0.01 + 0.04m + -0.04m

Combine like terms: 0.04m + -0.04m = 0.00
0.46 = -0.01 + 0.00
0.46 = -0.01

Solving
0.46 = -0.01

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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