2P+4(1-P)=3P+(1-P)

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Solution for 2P+4(1-P)=3P+(1-P) equation: 


Simplifying
2P + 4(1 + -1P) = 3P + (1 + -1P)
2P + (1 * 4 + -1P * 4) = 3P + (1 + -1P)
2P + (4 + -4P) = 3P + (1 + -1P)

Reorder the terms:
4 + 2P + -4P = 3P + (1 + -1P)

Combine like terms: 2P + -4P = -2P
4 + -2P = 3P + (1 + -1P)

Remove parenthesis around (1 + -1P)
4 + -2P = 3P + 1 + -1P

Reorder the terms:
4 + -2P = 1 + 3P + -1P

Combine like terms: 3P + -1P = 2P
4 + -2P = 1 + 2P

Solving
4 + -2P = 1 + 2P

Solving for variable 'P'.

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

Add '-2P' to each side of the equation.
4 + -2P + -2P = 1 + 2P + -2P

Combine like terms: -2P + -2P = -4P
4 + -4P = 1 + 2P + -2P

Combine like terms: 2P + -2P = 0
4 + -4P = 1 + 0
4 + -4P = 1

Add '-4' to each side of the equation.
4 + -4 + -4P = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -4P = 1 + -4
-4P = 1 + -4

Combine like terms: 1 + -4 = -3
-4P = -3

Divide each side by '-4'.
P = 0.75

Simplifying
P = 0.75

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