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

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


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

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

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

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

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

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

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

Combine like terms: 25 + 4 = 29
15 + 4.75m = 29 + 3.5m + -0.75m

Combine like terms: 3.5m + -0.75m = 2.75m
15 + 4.75m = 29 + 2.75m

Solving
15 + 4.75m = 29 + 2.75m

Solving for variable 'm'.

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

Add '-2.75m' to each side of the equation.
15 + 4.75m + -2.75m = 29 + 2.75m + -2.75m

Combine like terms: 4.75m + -2.75m = 2m
15 + 2m = 29 + 2.75m + -2.75m

Combine like terms: 2.75m + -2.75m = 0.00
15 + 2m = 29 + 0.00
15 + 2m = 29

Add '-15' to each side of the equation.
15 + -15 + 2m = 29 + -15

Combine like terms: 15 + -15 = 0
0 + 2m = 29 + -15
2m = 29 + -15

Combine like terms: 29 + -15 = 14
2m = 14

Divide each side by '2'.
m = 7

Simplifying
m = 7

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