334.24=8(0.09m+30.70+0.10(30.70))

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Solution for 334.24=8(0.09m+30.70+0.10(30.70)) equation: 


Simplifying
334.24 = 8(0.09m + 30.70 + 0.10(30.70))

Multiply 0.10 * 30.70
334.24 = 8(0.09m + 30.70 + 3.07)

Reorder the terms:
334.24 = 8(30.70 + 3.07 + 0.09m)

Combine like terms: 30.70 + 3.07 = 33.77
334.24 = 8(33.77 + 0.09m)
334.24 = (33.77 * 8 + 0.09m * 8)
334.24 = (270.16 + 0.72m)

Solving
334.24 = 270.16 + 0.72m

Solving for variable 'm'.

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

Add '-0.72m' to each side of the equation.
334.24 + -0.72m = 270.16 + 0.72m + -0.72m

Combine like terms: 0.72m + -0.72m = 0.00
334.24 + -0.72m = 270.16 + 0.00
334.24 + -0.72m = 270.16

Add '-334.24' to each side of the equation.
334.24 + -334.24 + -0.72m = 270.16 + -334.24

Combine like terms: 334.24 + -334.24 = 0.00
0.00 + -0.72m = 270.16 + -334.24
-0.72m = 270.16 + -334.24

Combine like terms: 270.16 + -334.24 = -64.08
-0.72m = -64.08

Divide each side by '-0.72'.
m = 89

Simplifying
m = 89

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