300.51=9(0.09m+22.80+0.20(22.80))

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Solution for 300.51=9(0.09m+22.80+0.20(22.80)) equation: 


Simplifying
300.51 = 9(0.09m + 22.80 + 0.20(22.80))

Multiply 0.20 * 22.80
300.51 = 9(0.09m + 22.80 + 4.56)

Reorder the terms:
300.51 = 9(22.80 + 4.56 + 0.09m)

Combine like terms: 22.80 + 4.56 = 27.36
300.51 = 9(27.36 + 0.09m)
300.51 = (27.36 * 9 + 0.09m * 9)
300.51 = (246.24 + 0.81m)

Solving
300.51 = 246.24 + 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.
300.51 + -0.81m = 246.24 + 0.81m + -0.81m

Combine like terms: 0.81m + -0.81m = 0.00
300.51 + -0.81m = 246.24 + 0.00
300.51 + -0.81m = 246.24

Add '-300.51' to each side of the equation.
300.51 + -300.51 + -0.81m = 246.24 + -300.51

Combine like terms: 300.51 + -300.51 = 0.00
0.00 + -0.81m = 246.24 + -300.51
-0.81m = 246.24 + -300.51

Combine like terms: 246.24 + -300.51 = -54.27
-0.81m = -54.27

Divide each side by '-0.81'.
m = 67

Simplifying
m = 67

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