383.67=9(0.07m+30.80+0.20(30.80))

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Solution for 383.67=9(0.07m+30.80+0.20(30.80)) equation: 


Simplifying
383.67 = 9(0.07m + 30.80 + 0.20(30.80))

Multiply 0.20 * 30.80
383.67 = 9(0.07m + 30.80 + 6.16)

Reorder the terms:
383.67 = 9(30.80 + 6.16 + 0.07m)

Combine like terms: 30.80 + 6.16 = 36.96
383.67 = 9(36.96 + 0.07m)
383.67 = (36.96 * 9 + 0.07m * 9)
383.67 = (332.64 + 0.63m)

Solving
383.67 = 332.64 + 0.63m

Solving for variable 'm'.

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

Add '-0.63m' to each side of the equation.
383.67 + -0.63m = 332.64 + 0.63m + -0.63m

Combine like terms: 0.63m + -0.63m = 0.00
383.67 + -0.63m = 332.64 + 0.00
383.67 + -0.63m = 332.64

Add '-383.67' to each side of the equation.
383.67 + -383.67 + -0.63m = 332.64 + -383.67

Combine like terms: 383.67 + -383.67 = 0.00
0.00 + -0.63m = 332.64 + -383.67
-0.63m = 332.64 + -383.67

Combine like terms: 332.64 + -383.67 = -51.03
-0.63m = -51.03

Divide each side by '-0.63'.
m = 81

Simplifying
m = 81

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