238.70=5(0.09m+30.70+0.30(30.70))

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Solution for 238.70=5(0.09m+30.70+0.30(30.70)) equation:


Simplifying
238.70 = 5(0.09m + 30.70 + 0.30(30.70))

Multiply 0.30 * 30.70
238.70 = 5(0.09m + 30.70 + 9.21)

Reorder the terms:
238.70 = 5(30.70 + 9.21 + 0.09m)

Combine like terms: 30.70 + 9.21 = 39.91
238.70 = 5(39.91 + 0.09m)
238.70 = (39.91 * 5 + 0.09m * 5)
238.70 = (199.55 + 0.45m)

Solving
238.70 = 199.55 + 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.
238.70 + -0.45m = 199.55 + 0.45m + -0.45m

Combine like terms: 0.45m + -0.45m = 0.00
238.70 + -0.45m = 199.55 + 0.00
238.70 + -0.45m = 199.55

Add '-238.70' to each side of the equation.
238.70 + -238.70 + -0.45m = 199.55 + -238.70

Combine like terms: 238.70 + -238.70 = 0.00
0.00 + -0.45m = 199.55 + -238.70
-0.45m = 199.55 + -238.70

Combine like terms: 199.55 + -238.70 = -39.15
-0.45m = -39.15

Divide each side by '-0.45'.
m = 87

Simplifying
m = 87

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