3(.75m+10)+2.50m-15=2(1.50m+12)+m-4

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Solution for 3(.75m+10)+2.50m-15=2(1.50m+12)+m-4 equation:


Simplifying
3(0.75m + 10) + 2.50m + -15 = 2(1.50m + 12) + m + -4

Reorder the terms:
3(10 + 0.75m) + 2.50m + -15 = 2(1.50m + 12) + m + -4
(10 * 3 + 0.75m * 3) + 2.50m + -15 = 2(1.50m + 12) + m + -4
(30 + 2.25m) + 2.50m + -15 = 2(1.50m + 12) + m + -4

Reorder the terms:
30 + -15 + 2.25m + 2.50m = 2(1.50m + 12) + m + -4

Combine like terms: 30 + -15 = 15
15 + 2.25m + 2.50m = 2(1.50m + 12) + m + -4

Combine like terms: 2.25m + 2.50m = 4.75m
15 + 4.75m = 2(1.50m + 12) + m + -4

Reorder the terms:
15 + 4.75m = 2(12 + 1.50m) + m + -4
15 + 4.75m = (12 * 2 + 1.50m * 2) + m + -4
15 + 4.75m = (24 + 3m) + m + -4

Reorder the terms:
15 + 4.75m = 24 + -4 + 3m + m

Combine like terms: 24 + -4 = 20
15 + 4.75m = 20 + 3m + m

Combine like terms: 3m + m = 4m
15 + 4.75m = 20 + 4m

Solving
15 + 4.75m = 20 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
15 + 4.75m + -4m = 20 + 4m + -4m

Combine like terms: 4.75m + -4m = 0.75m
15 + 0.75m = 20 + 4m + -4m

Combine like terms: 4m + -4m = 0
15 + 0.75m = 20 + 0
15 + 0.75m = 20

Add '-15' to each side of the equation.
15 + -15 + 0.75m = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 0.75m = 20 + -15
0.75m = 20 + -15

Combine like terms: 20 + -15 = 5
0.75m = 5

Divide each side by '0.75'.
m = 6.666666667

Simplifying
m = 6.666666667

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