19P+20(1-P)=5P+-4(1-P)

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Solution for 19P+20(1-P)=5P+-4(1-P) equation: 


Simplifying
19P + 20(1 + -1P) = 5P + -4(1 + -1P)
19P + (1 * 20 + -1P * 20) = 5P + -4(1 + -1P)
19P + (20 + -20P) = 5P + -4(1 + -1P)

Reorder the terms:
20 + 19P + -20P = 5P + -4(1 + -1P)

Combine like terms: 19P + -20P = -1P
20 + -1P = 5P + -4(1 + -1P)
20 + -1P = 5P + (1 * -4 + -1P * -4)
20 + -1P = 5P + (-4 + 4P)

Reorder the terms:
20 + -1P = -4 + 5P + 4P

Combine like terms: 5P + 4P = 9P
20 + -1P = -4 + 9P

Solving
20 + -1P = -4 + 9P

Solving for variable 'P'.

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

Add '-9P' to each side of the equation.
20 + -1P + -9P = -4 + 9P + -9P

Combine like terms: -1P + -9P = -10P
20 + -10P = -4 + 9P + -9P

Combine like terms: 9P + -9P = 0
20 + -10P = -4 + 0
20 + -10P = -4

Add '-20' to each side of the equation.
20 + -20 + -10P = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -10P = -4 + -20
-10P = -4 + -20

Combine like terms: -4 + -20 = -24
-10P = -24

Divide each side by '-10'.
P = 2.4

Simplifying
P = 2.4

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