0.10(m-100)+15+20=0.05m+40

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Solution for 0.10(m-100)+15+20=0.05m+40 equation:


Simplifying
0.10(m + -100) + 15 + 20 = 0.05m + 40

Reorder the terms:
0.10(-100 + m) + 15 + 20 = 0.05m + 40
(-100 * 0.10 + m * 0.10) + 15 + 20 = 0.05m + 40
(-10 + 0.10m) + 15 + 20 = 0.05m + 40

Reorder the terms:
-10 + 15 + 20 + 0.10m = 0.05m + 40

Combine like terms: -10 + 15 = 5
5 + 20 + 0.10m = 0.05m + 40

Combine like terms: 5 + 20 = 25
25 + 0.10m = 0.05m + 40

Reorder the terms:
25 + 0.10m = 40 + 0.05m

Solving
25 + 0.10m = 40 + 0.05m

Solving for variable 'm'.

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

Add '-0.05m' to each side of the equation.
25 + 0.10m + -0.05m = 40 + 0.05m + -0.05m

Combine like terms: 0.10m + -0.05m = 0.05m
25 + 0.05m = 40 + 0.05m + -0.05m

Combine like terms: 0.05m + -0.05m = 0.00
25 + 0.05m = 40 + 0.00
25 + 0.05m = 40

Add '-25' to each side of the equation.
25 + -25 + 0.05m = 40 + -25

Combine like terms: 25 + -25 = 0
0 + 0.05m = 40 + -25
0.05m = 40 + -25

Combine like terms: 40 + -25 = 15
0.05m = 15

Divide each side by '0.05'.
m = 300

Simplifying
m = 300

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