337.41=9(0.05m+30.90+0.10(30.90))

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Solution for 337.41=9(0.05m+30.90+0.10(30.90)) equation: 


Simplifying
337.41 = 9(0.05m + 30.90 + 0.10(30.90))

Multiply 0.10 * 30.90
337.41 = 9(0.05m + 30.90 + 3.09)

Reorder the terms:
337.41 = 9(30.90 + 3.09 + 0.05m)

Combine like terms: 30.90 + 3.09 = 33.99
337.41 = 9(33.99 + 0.05m)
337.41 = (33.99 * 9 + 0.05m * 9)
337.41 = (305.91 + 0.45m)

Solving
337.41 = 305.91 + 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.
337.41 + -0.45m = 305.91 + 0.45m + -0.45m

Combine like terms: 0.45m + -0.45m = 0.00
337.41 + -0.45m = 305.91 + 0.00
337.41 + -0.45m = 305.91

Add '-337.41' to each side of the equation.
337.41 + -337.41 + -0.45m = 305.91 + -337.41

Combine like terms: 337.41 + -337.41 = 0.00
0.00 + -0.45m = 305.91 + -337.41
-0.45m = 305.91 + -337.41

Combine like terms: 305.91 + -337.41 = -31.5
-0.45m = -31.5

Divide each side by '-0.45'.
m = 70

Simplifying
m = 70

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