318.33=9(0.05m+24.90+0.30(24.90))

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Solution for 318.33=9(0.05m+24.90+0.30(24.90)) equation: 


Simplifying
318.33 = 9(0.05m + 24.90 + 0.30(24.90))

Multiply 0.30 * 24.90
318.33 = 9(0.05m + 24.90 + 7.47)

Reorder the terms:
318.33 = 9(24.90 + 7.47 + 0.05m)

Combine like terms: 24.90 + 7.47 = 32.37
318.33 = 9(32.37 + 0.05m)
318.33 = (32.37 * 9 + 0.05m * 9)
318.33 = (291.33 + 0.45m)

Solving
318.33 = 291.33 + 0.45m

Solving for variable 'm'.

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

Add '-0.45m' to each side of the equation.
318.33 + -0.45m = 291.33 + 0.45m + -0.45m

Combine like terms: 0.45m + -0.45m = 0.00
318.33 + -0.45m = 291.33 + 0.00
318.33 + -0.45m = 291.33

Add '-318.33' to each side of the equation.
318.33 + -318.33 + -0.45m = 291.33 + -318.33

Combine like terms: 318.33 + -318.33 = 0.00
0.00 + -0.45m = 291.33 + -318.33
-0.45m = 291.33 + -318.33

Combine like terms: 291.33 + -318.33 = -27
-0.45m = -27

Divide each side by '-0.45'.
m = 60

Simplifying
m = 60

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