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

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


Simplifying
(P + -1) + -1(p + 2) + -1(p + -3) = p

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

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

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

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

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

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

Combine like terms: -3 + 3 = 0
0 + P + -1p + -1p = p
P + -1p + -1p = p

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

Solving
P + -2p = p

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.
P + -2p + 2p = p + 2p

Combine like terms: -2p + 2p = 0
P + 0 = p + 2p
P = p + 2p

Combine like terms: p + 2p = 3p
P = 3p

Simplifying
P = 3p

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