P-(P+2)=8(P-3)+3P

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Solution for P-(P+2)=8(P-3)+3P equation: 


Simplifying
P + -1(P + 2) = 8(P + -3) + 3P

Reorder the terms:
P + -1(2 + P) = 8(P + -3) + 3P
P + (2 * -1 + P * -1) = 8(P + -3) + 3P
P + (-2 + -1P) = 8(P + -3) + 3P

Reorder the terms:
-2 + P + -1P = 8(P + -3) + 3P

Combine like terms: P + -1P = 0
-2 + 0 = 8(P + -3) + 3P
-2 = 8(P + -3) + 3P

Reorder the terms:
-2 = 8(-3 + P) + 3P
-2 = (-3 * 8 + P * 8) + 3P
-2 = (-24 + 8P) + 3P

Combine like terms: 8P + 3P = 11P
-2 = -24 + 11P

Solving
-2 = -24 + 11P

Solving for variable 'P'.

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

Add '-11P' to each side of the equation.
-2 + -11P = -24 + 11P + -11P

Combine like terms: 11P + -11P = 0
-2 + -11P = -24 + 0
-2 + -11P = -24

Add '2' to each side of the equation.
-2 + 2 + -11P = -24 + 2

Combine like terms: -2 + 2 = 0
0 + -11P = -24 + 2
-11P = -24 + 2

Combine like terms: -24 + 2 = -22
-11P = -22

Divide each side by '-11'.
P = 2

Simplifying
P = 2

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