230.35=5(0.09m+29.90+0.30(29.90))

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Solution for 230.35=5(0.09m+29.90+0.30(29.90)) equation: 


Simplifying
230.35 = 5(0.09m + 29.90 + 0.30(29.90))

Multiply 0.30 * 29.90
230.35 = 5(0.09m + 29.90 + 8.97)

Reorder the terms:
230.35 = 5(29.90 + 8.97 + 0.09m)

Combine like terms: 29.90 + 8.97 = 38.87
230.35 = 5(38.87 + 0.09m)
230.35 = (38.87 * 5 + 0.09m * 5)
230.35 = (194.35 + 0.45m)

Solving
230.35 = 194.35 + 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.
230.35 + -0.45m = 194.35 + 0.45m + -0.45m

Combine like terms: 0.45m + -0.45m = 0.00
230.35 + -0.45m = 194.35 + 0.00
230.35 + -0.45m = 194.35

Add '-230.35' to each side of the equation.
230.35 + -230.35 + -0.45m = 194.35 + -230.35

Combine like terms: 230.35 + -230.35 = 0.00
0.00 + -0.45m = 194.35 + -230.35
-0.45m = 194.35 + -230.35

Combine like terms: 194.35 + -230.35 = -36
-0.45m = -36

Divide each side by '-0.45'.
m = 80

Simplifying
m = 80

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