316.17=9(0.06m+27.90+.10(27.90))

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Solution for 316.17=9(0.06m+27.90+.10(27.90)) equation: 


Simplifying
316.17 = 9(0.06m + 27.90 + 0.10(27.90))

Multiply 0.10 * 27.90
316.17 = 9(0.06m + 27.90 + 2.79)

Reorder the terms:
316.17 = 9(27.90 + 2.79 + 0.06m)

Combine like terms: 27.90 + 2.79 = 30.69
316.17 = 9(30.69 + 0.06m)
316.17 = (30.69 * 9 + 0.06m * 9)
316.17 = (276.21 + 0.54m)

Solving
316.17 = 276.21 + 0.54m

Solving for variable 'm'.

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

Add '-0.54m' to each side of the equation.
316.17 + -0.54m = 276.21 + 0.54m + -0.54m

Combine like terms: 0.54m + -0.54m = 0.00
316.17 + -0.54m = 276.21 + 0.00
316.17 + -0.54m = 276.21

Add '-316.17' to each side of the equation.
316.17 + -316.17 + -0.54m = 276.21 + -316.17

Combine like terms: 316.17 + -316.17 = 0.00
0.00 + -0.54m = 276.21 + -316.17
-0.54m = 276.21 + -316.17

Combine like terms: 276.21 + -316.17 = -39.96
-0.54m = -39.96

Divide each side by '-0.54'.
m = 74

Simplifying
m = 74

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