30=3(.75m+10)+2.50m-15

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Solution for 30=3(.75m+10)+2.50m-15 equation:


Simplifying
30 = 3(0.75m + 10) + 2.50m + -15

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

Reorder the terms:
30 = 30 + -15 + 2.25m + 2.50m

Combine like terms: 30 + -15 = 15
30 = 15 + 2.25m + 2.50m

Combine like terms: 2.25m + 2.50m = 4.75m
30 = 15 + 4.75m

Solving
30 = 15 + 4.75m

Solving for variable 'm'.

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

Add '-4.75m' to each side of the equation.
30 + -4.75m = 15 + 4.75m + -4.75m

Combine like terms: 4.75m + -4.75m = 0.00
30 + -4.75m = 15 + 0.00
30 + -4.75m = 15

Add '-30' to each side of the equation.
30 + -30 + -4.75m = 15 + -30

Combine like terms: 30 + -30 = 0
0 + -4.75m = 15 + -30
-4.75m = 15 + -30

Combine like terms: 15 + -30 = -15
-4.75m = -15

Divide each side by '-4.75'.
m = 3.157894737

Simplifying
m = 3.157894737

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