3(.75m+10)+2.50m-15=2(1.75m+12.50)-.75+4

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Solution for 3(.75m+10)+2.50m-15=2(1.75m+12.50)-.75+4 equation: 


Simplifying
3(0.75m + 10) + 2.50m + -15 = 2(1.75m + 12.50) + -0.75 + 4

Reorder the terms:
3(10 + 0.75m) + 2.50m + -15 = 2(1.75m + 12.50) + -0.75 + 4
(10 * 3 + 0.75m * 3) + 2.50m + -15 = 2(1.75m + 12.50) + -0.75 + 4
(30 + 2.25m) + 2.50m + -15 = 2(1.75m + 12.50) + -0.75 + 4

Reorder the terms:
30 + -15 + 2.25m + 2.50m = 2(1.75m + 12.50) + -0.75 + 4

Combine like terms: 30 + -15 = 15
15 + 2.25m + 2.50m = 2(1.75m + 12.50) + -0.75 + 4

Combine like terms: 2.25m + 2.50m = 4.75m
15 + 4.75m = 2(1.75m + 12.50) + -0.75 + 4

Reorder the terms:
15 + 4.75m = 2(12.50 + 1.75m) + -0.75 + 4
15 + 4.75m = (12.50 * 2 + 1.75m * 2) + -0.75 + 4
15 + 4.75m = (25 + 3.5m) + -0.75 + 4

Reorder the terms:
15 + 4.75m = 25 + -0.75 + 4 + 3.5m

Combine like terms: 25 + -0.75 = 24.25
15 + 4.75m = 24.25 + 4 + 3.5m

Combine like terms: 24.25 + 4 = 28.25
15 + 4.75m = 28.25 + 3.5m

Solving
15 + 4.75m = 28.25 + 3.5m

Solving for variable 'm'.

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

Add '-3.5m' to each side of the equation.
15 + 4.75m + -3.5m = 28.25 + 3.5m + -3.5m

Combine like terms: 4.75m + -3.5m = 1.25m
15 + 1.25m = 28.25 + 3.5m + -3.5m

Combine like terms: 3.5m + -3.5m = 0.0
15 + 1.25m = 28.25 + 0.0
15 + 1.25m = 28.25

Add '-15' to each side of the equation.
15 + -15 + 1.25m = 28.25 + -15

Combine like terms: 15 + -15 = 0
0 + 1.25m = 28.25 + -15
1.25m = 28.25 + -15

Combine like terms: 28.25 + -15 = 13.25
1.25m = 13.25

Divide each side by '1.25'.
m = 10.6

Simplifying
m = 10.6

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