4P+9(1-P)=3P+0(1-P)

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Solution for 4P+9(1-P)=3P+0(1-P) equation: 


Simplifying
4P + 9(1 + -1P) = 3P + 0(1 + -1P)
4P + (1 * 9 + -1P * 9) = 3P + 0(1 + -1P)
4P + (9 + -9P) = 3P + 0(1 + -1P)

Reorder the terms:
9 + 4P + -9P = 3P + 0(1 + -1P)

Combine like terms: 4P + -9P = -5P
9 + -5P = 3P + 0(1 + -1P)

Anything times zero is zero.
9 + -5P = 3P + 0(1 + -1P)

Reorder the terms:
9 + -5P = 0 + 3P
Remove the zero:
9 + -5P = 3P

Solving
9 + -5P = 3P

Solving for variable 'P'.

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

Add '-3P' to each side of the equation.
9 + -5P + -3P = 3P + -3P

Combine like terms: -5P + -3P = -8P
9 + -8P = 3P + -3P

Combine like terms: 3P + -3P = 0
9 + -8P = 0

Add '-9' to each side of the equation.
9 + -9 + -8P = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8P = 0 + -9
-8P = 0 + -9

Combine like terms: 0 + -9 = -9
-8P = -9

Divide each side by '-8'.
P = 1.125

Simplifying
P = 1.125

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