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Simplifying (P + 4)(p + -6) = -16 Reorder the terms: (4 + P)(p + -6) = -16 Reorder the terms: (4 + P)(-6 + p) = -16 Multiply (4 + P) * (-6 + p) (4(-6 + p) + P(-6 + p)) = -16 ((-6 * 4 + p * 4) + P(-6 + p)) = -16 ((-24 + 4p) + P(-6 + p)) = -16 (-24 + 4p + (-6 * P + p * P)) = -16 (-24 + 4p + (-6P + pP)) = -16 Reorder the terms: (-24 + -6P + 4p + pP) = -16 (-24 + -6P + 4p + pP) = -16 Solving -24 + -6P + 4p + pP = -16 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -6P + 4p + 24 + pP = -16 + 24 Reorder the terms: -24 + 24 + -6P + 4p + pP = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -6P + 4p + pP = -16 + 24 -6P + 4p + pP = -16 + 24 Combine like terms: -16 + 24 = 8 -6P + 4p + pP = 8 Add '-4p' to each side of the equation. -6P + 4p + -4p + pP = 8 + -4p Combine like terms: 4p + -4p = 0 -6P + 0 + pP = 8 + -4p -6P + pP = 8 + -4p Reorder the terms: -8 + -6P + 4p + pP = 8 + -4p + -8 + 4p Reorder the terms: -8 + -6P + 4p + pP = 8 + -8 + -4p + 4p Combine like terms: 8 + -8 = 0 -8 + -6P + 4p + pP = 0 + -4p + 4p -8 + -6P + 4p + pP = -4p + 4p Combine like terms: -4p + 4p = 0 -8 + -6P + 4p + pP = 0 The solution to this equation could not be determined.
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