.10(m-100)+15+20=.5m+20+20

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Solution for .10(m-100)+15+20=.5m+20+20 equation:


Simplifying
0.10(m + -100) + 15 + 20 = 0.5m + 20 + 20

Reorder the terms:
0.10(-100 + m) + 15 + 20 = 0.5m + 20 + 20
(-100 * 0.10 + m * 0.10) + 15 + 20 = 0.5m + 20 + 20
(-10 + 0.10m) + 15 + 20 = 0.5m + 20 + 20

Reorder the terms:
-10 + 15 + 20 + 0.10m = 0.5m + 20 + 20

Combine like terms: -10 + 15 = 5
5 + 20 + 0.10m = 0.5m + 20 + 20

Combine like terms: 5 + 20 = 25
25 + 0.10m = 0.5m + 20 + 20

Reorder the terms:
25 + 0.10m = 20 + 20 + 0.5m

Combine like terms: 20 + 20 = 40
25 + 0.10m = 40 + 0.5m

Solving
25 + 0.10m = 40 + 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.
25 + 0.10m + -0.5m = 40 + 0.5m + -0.5m

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

Combine like terms: 0.5m + -0.5m = 0.0
25 + -0.4m = 40 + 0.0
25 + -0.4m = 40

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

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

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

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

Simplifying
m = -37.5

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