75=.10(m-100)+15+20

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Solution for 75=.10(m-100)+15+20 equation:


Simplifying
75 = 0.10(m + -100) + 15 + 20

Reorder the terms:
75 = 0.10(-100 + m) + 15 + 20
75 = (-100 * 0.10 + m * 0.10) + 15 + 20
75 = (-10 + 0.10m) + 15 + 20

Reorder the terms:
75 = -10 + 15 + 20 + 0.10m

Combine like terms: -10 + 15 = 5
75 = 5 + 20 + 0.10m

Combine like terms: 5 + 20 = 25
75 = 25 + 0.10m

Solving
75 = 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.
75 + -0.10m = 25 + 0.10m + -0.10m

Combine like terms: 0.10m + -0.10m = 0.00
75 + -0.10m = 25 + 0.00
75 + -0.10m = 25

Add '-75' to each side of the equation.
75 + -75 + -0.10m = 25 + -75

Combine like terms: 75 + -75 = 0
0 + -0.10m = 25 + -75
-0.10m = 25 + -75

Combine like terms: 25 + -75 = -50
-0.10m = -50

Divide each side by '-0.10'.
m = 500

Simplifying
m = 500

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