.05m+40=.1(m-100)

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Solution for .05m+40=.1(m-100) equation: 


Simplifying
0.05m + 40 = 0.1(m + -100)

Reorder the terms:
40 + 0.05m = 0.1(m + -100)

Reorder the terms:
40 + 0.05m = 0.1(-100 + m)
40 + 0.05m = (-100 * 0.1 + m * 0.1)
40 + 0.05m = (-10 + 0.1m)

Solving
40 + 0.05m = -10 + 0.1m

Solving for variable 'm'.

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

Add '-0.1m' to each side of the equation.
40 + 0.05m + -0.1m = -10 + 0.1m + -0.1m

Combine like terms: 0.05m + -0.1m = -0.05m
40 + -0.05m = -10 + 0.1m + -0.1m

Combine like terms: 0.1m + -0.1m = 0.0
40 + -0.05m = -10 + 0.0
40 + -0.05m = -10

Add '-40' to each side of the equation.
40 + -40 + -0.05m = -10 + -40

Combine like terms: 40 + -40 = 0
0 + -0.05m = -10 + -40
-0.05m = -10 + -40

Combine like terms: -10 + -40 = -50
-0.05m = -50

Divide each side by '-0.05'.
m = 1000

Simplifying
m = 1000

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