271.35=9(0.09m+20.70+0.10(20.70))

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Solution for 271.35=9(0.09m+20.70+0.10(20.70)) equation: 


Simplifying
271.35 = 9(0.09m + 20.70 + 0.10(20.70))

Multiply 0.10 * 20.70
271.35 = 9(0.09m + 20.70 + 2.07)

Reorder the terms:
271.35 = 9(20.70 + 2.07 + 0.09m)

Combine like terms: 20.70 + 2.07 = 22.77
271.35 = 9(22.77 + 0.09m)
271.35 = (22.77 * 9 + 0.09m * 9)
271.35 = (204.93 + 0.81m)

Solving
271.35 = 204.93 + 0.81m

Solving for variable 'm'.

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

Add '-0.81m' to each side of the equation.
271.35 + -0.81m = 204.93 + 0.81m + -0.81m

Combine like terms: 0.81m + -0.81m = 0.00
271.35 + -0.81m = 204.93 + 0.00
271.35 + -0.81m = 204.93

Add '-271.35' to each side of the equation.
271.35 + -271.35 + -0.81m = 204.93 + -271.35

Combine like terms: 271.35 + -271.35 = 0.00
0.00 + -0.81m = 204.93 + -271.35
-0.81m = 204.93 + -271.35

Combine like terms: 204.93 + -271.35 = -66.42
-0.81m = -66.42

Divide each side by '-0.81'.
m = 82

Simplifying
m = 82

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