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Simplifying P(3p + 1) + -1(3p + 1) = 0 Reorder the terms: P(1 + 3p) + -1(3p + 1) = 0 (1 * P + 3p * P) + -1(3p + 1) = 0 (1P + 3pP) + -1(3p + 1) = 0 Reorder the terms: 1P + 3pP + -1(1 + 3p) = 0 1P + 3pP + (1 * -1 + 3p * -1) = 0 1P + 3pP + (-1 + -3p) = 0 Reorder the terms: -1 + 1P + -3p + 3pP = 0 Solving -1 + 1P + -3p + 3pP = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1P + -3p + 1 + 3pP = 0 + 1 Reorder the terms: -1 + 1 + 1P + -3p + 3pP = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1P + -3p + 3pP = 0 + 1 1P + -3p + 3pP = 0 + 1 Combine like terms: 0 + 1 = 1 1P + -3p + 3pP = 1 Add '3p' to each side of the equation. 1P + -3p + 3p + 3pP = 1 + 3p Combine like terms: -3p + 3p = 0 1P + 0 + 3pP = 1 + 3p 1P + 3pP = 1 + 3p Reorder the terms: -1 + 1P + -3p + 3pP = 1 + 3p + -1 + -3p Reorder the terms: -1 + 1P + -3p + 3pP = 1 + -1 + 3p + -3p Combine like terms: 1 + -1 = 0 -1 + 1P + -3p + 3pP = 0 + 3p + -3p -1 + 1P + -3p + 3pP = 3p + -3p Combine like terms: 3p + -3p = 0 -1 + 1P + -3p + 3pP = 0 The solution to this equation could not be determined.
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