.35(-P+500)+.4P=192.5

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Solution for .35(-P+500)+.4P=192.5 equation: 


Simplifying
0.35(-1P + 500) + 0.4P = 192.5

Reorder the terms:
0.35(500 + -1P) + 0.4P = 192.5
(500 * 0.35 + -1P * 0.35) + 0.4P = 192.5
(175 + -0.35P) + 0.4P = 192.5

Combine like terms: -0.35P + 0.4P = 0.05P
175 + 0.05P = 192.5

Solving
175 + 0.05P = 192.5

Solving for variable 'P'.

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

Add '-175' to each side of the equation.
175 + -175 + 0.05P = 192.5 + -175

Combine like terms: 175 + -175 = 0
0 + 0.05P = 192.5 + -175
0.05P = 192.5 + -175

Combine like terms: 192.5 + -175 = 17.5
0.05P = 17.5

Divide each side by '0.05'.
P = 350

Simplifying
P = 350

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