P-(P+15)=9(P-3)+3P

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Solution for P-(P+15)=9(P-3)+3P equation: 


Simplifying
P + -1(P + 15) = 9(P + -3) + 3P

Reorder the terms:
P + -1(15 + P) = 9(P + -3) + 3P
P + (15 * -1 + P * -1) = 9(P + -3) + 3P
P + (-15 + -1P) = 9(P + -3) + 3P

Reorder the terms:
-15 + P + -1P = 9(P + -3) + 3P

Combine like terms: P + -1P = 0
-15 + 0 = 9(P + -3) + 3P
-15 = 9(P + -3) + 3P

Reorder the terms:
-15 = 9(-3 + P) + 3P
-15 = (-3 * 9 + P * 9) + 3P
-15 = (-27 + 9P) + 3P

Combine like terms: 9P + 3P = 12P
-15 = -27 + 12P

Solving
-15 = -27 + 12P

Solving for variable 'P'.

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

Add '-12P' to each side of the equation.
-15 + -12P = -27 + 12P + -12P

Combine like terms: 12P + -12P = 0
-15 + -12P = -27 + 0
-15 + -12P = -27

Add '15' to each side of the equation.
-15 + 15 + -12P = -27 + 15

Combine like terms: -15 + 15 = 0
0 + -12P = -27 + 15
-12P = -27 + 15

Combine like terms: -27 + 15 = -12
-12P = -12

Divide each side by '-12'.
P = 1

Simplifying
P = 1

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