287.64=9(0.05m+21.70+0.30(21.70))

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Solution for 287.64=9(0.05m+21.70+0.30(21.70)) equation: 


Simplifying
287.64 = 9(0.05m + 21.70 + 0.30(21.70))

Multiply 0.30 * 21.70
287.64 = 9(0.05m + 21.70 + 6.51)

Reorder the terms:
287.64 = 9(21.70 + 6.51 + 0.05m)

Combine like terms: 21.70 + 6.51 = 28.21
287.64 = 9(28.21 + 0.05m)
287.64 = (28.21 * 9 + 0.05m * 9)
287.64 = (253.89 + 0.45m)

Solving
287.64 = 253.89 + 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.
287.64 + -0.45m = 253.89 + 0.45m + -0.45m

Combine like terms: 0.45m + -0.45m = 0.00
287.64 + -0.45m = 253.89 + 0.00
287.64 + -0.45m = 253.89

Add '-287.64' to each side of the equation.
287.64 + -287.64 + -0.45m = 253.89 + -287.64

Combine like terms: 287.64 + -287.64 = 0.00
0.00 + -0.45m = 253.89 + -287.64
-0.45m = 253.89 + -287.64

Combine like terms: 253.89 + -287.64 = -33.75
-0.45m = -33.75

Divide each side by '-0.45'.
m = 75

Simplifying
m = 75

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