294.48=9(0.06m+21.80+0.30(21.80))

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Solution for 294.48=9(0.06m+21.80+0.30(21.80)) equation: 


Simplifying
294.48 = 9(0.06m + 21.80 + 0.30(21.80))

Multiply 0.30 * 21.80
294.48 = 9(0.06m + 21.80 + 6.54)

Reorder the terms:
294.48 = 9(21.80 + 6.54 + 0.06m)

Combine like terms: 21.80 + 6.54 = 28.34
294.48 = 9(28.34 + 0.06m)
294.48 = (28.34 * 9 + 0.06m * 9)
294.48 = (255.06 + 0.54m)

Solving
294.48 = 255.06 + 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.
294.48 + -0.54m = 255.06 + 0.54m + -0.54m

Combine like terms: 0.54m + -0.54m = 0.00
294.48 + -0.54m = 255.06 + 0.00
294.48 + -0.54m = 255.06

Add '-294.48' to each side of the equation.
294.48 + -294.48 + -0.54m = 255.06 + -294.48

Combine like terms: 294.48 + -294.48 = 0.00
0.00 + -0.54m = 255.06 + -294.48
-0.54m = 255.06 + -294.48

Combine like terms: 255.06 + -294.48 = -39.42
-0.54m = -39.42

Divide each side by '-0.54'.
m = 73

Simplifying
m = 73

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