.75P+.25(1-P)=P

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Solution for .75P+.25(1-P)=P equation:


Simplifying
0.75P + 0.25(1 + -1P) = P
0.75P + (1 * 0.25 + -1P * 0.25) = P
0.75P + (0.25 + -0.25P) = P

Reorder the terms:
0.25 + 0.75P + -0.25P = P

Combine like terms: 0.75P + -0.25P = 0.5P
0.25 + 0.5P = P

Solving
0.25 + 0.5P = P

Solving for variable 'P'.

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

Add '-1P' to each side of the equation.
0.25 + 0.5P + -1P = P + -1P

Combine like terms: 0.5P + -1P = -0.5P
0.25 + -0.5P = P + -1P

Combine like terms: P + -1P = 0
0.25 + -0.5P = 0

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -0.5P = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.5P = 0 + -0.25
-0.5P = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.5P = -0.25

Divide each side by '-0.5'.
P = 0.5

Simplifying
P = 0.5

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