600P-1200=1600-200(P-2)

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Solution for 600P-1200=1600-200(P-2) equation:


Simplifying
600P + -1200 = 1600 + -200(P + -2)

Reorder the terms:
-1200 + 600P = 1600 + -200(P + -2)

Reorder the terms:
-1200 + 600P = 1600 + -200(-2 + P)
-1200 + 600P = 1600 + (-2 * -200 + P * -200)
-1200 + 600P = 1600 + (400 + -200P)

Combine like terms: 1600 + 400 = 2000
-1200 + 600P = 2000 + -200P

Solving
-1200 + 600P = 2000 + -200P

Solving for variable 'P'.

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

Add '200P' to each side of the equation.
-1200 + 600P + 200P = 2000 + -200P + 200P

Combine like terms: 600P + 200P = 800P
-1200 + 800P = 2000 + -200P + 200P

Combine like terms: -200P + 200P = 0
-1200 + 800P = 2000 + 0
-1200 + 800P = 2000

Add '1200' to each side of the equation.
-1200 + 1200 + 800P = 2000 + 1200

Combine like terms: -1200 + 1200 = 0
0 + 800P = 2000 + 1200
800P = 2000 + 1200

Combine like terms: 2000 + 1200 = 3200
800P = 3200

Divide each side by '800'.
P = 4

Simplifying
P = 4

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