0.5m+40=.10(m-100)+35

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Solution for 0.5m+40=.10(m-100)+35 equation: 


Simplifying
0.5m + 40 = 0.10(m + -100) + 35

Reorder the terms:
40 + 0.5m = 0.10(m + -100) + 35

Reorder the terms:
40 + 0.5m = 0.10(-100 + m) + 35
40 + 0.5m = (-100 * 0.10 + m * 0.10) + 35
40 + 0.5m = (-10 + 0.10m) + 35

Reorder the terms:
40 + 0.5m = -10 + 35 + 0.10m

Combine like terms: -10 + 35 = 25
40 + 0.5m = 25 + 0.10m

Solving
40 + 0.5m = 25 + 0.10m

Solving for variable 'm'.

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

Add '-0.10m' to each side of the equation.
40 + 0.5m + -0.10m = 25 + 0.10m + -0.10m

Combine like terms: 0.5m + -0.10m = 0.4m
40 + 0.4m = 25 + 0.10m + -0.10m

Combine like terms: 0.10m + -0.10m = 0.00
40 + 0.4m = 25 + 0.00
40 + 0.4m = 25

Add '-40' to each side of the equation.
40 + -40 + 0.4m = 25 + -40

Combine like terms: 40 + -40 = 0
0 + 0.4m = 25 + -40
0.4m = 25 + -40

Combine like terms: 25 + -40 = -15
0.4m = -15

Divide each side by '0.4'.
m = -37.5

Simplifying
m = -37.5

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