204.20=5(0.07m+27.70+0.30(27.70))

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Solution for 204.20=5(0.07m+27.70+0.30(27.70)) equation: 


Simplifying
204.20 = 5(0.07m + 27.70 + 0.30(27.70))

Multiply 0.30 * 27.70
204.20 = 5(0.07m + 27.70 + 8.31)

Reorder the terms:
204.20 = 5(27.70 + 8.31 + 0.07m)

Combine like terms: 27.70 + 8.31 = 36.01
204.20 = 5(36.01 + 0.07m)
204.20 = (36.01 * 5 + 0.07m * 5)
204.20 = (180.05 + 0.35m)

Solving
204.20 = 180.05 + 0.35m

Solving for variable 'm'.

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

Add '-0.35m' to each side of the equation.
204.20 + -0.35m = 180.05 + 0.35m + -0.35m

Combine like terms: 0.35m + -0.35m = 0.00
204.20 + -0.35m = 180.05 + 0.00
204.20 + -0.35m = 180.05

Add '-204.20' to each side of the equation.
204.20 + -204.20 + -0.35m = 180.05 + -204.20

Combine like terms: 204.20 + -204.20 = 0.00
0.00 + -0.35m = 180.05 + -204.20
-0.35m = 180.05 + -204.20

Combine like terms: 180.05 + -204.20 = -24.15
-0.35m = -24.15

Divide each side by '-0.35'.
m = 69

Simplifying
m = 69

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