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Simplifying -4(-8P + -20) = -2(-8P + -16) Reorder the terms: -4(-20 + -8P) = -2(-8P + -16) (-20 * -4 + -8P * -4) = -2(-8P + -16) (80 + 32P) = -2(-8P + -16) Reorder the terms: 80 + 32P = -2(-16 + -8P) 80 + 32P = (-16 * -2 + -8P * -2) 80 + 32P = (32 + 16P) Solving 80 + 32P = 32 + 16P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-16P' to each side of the equation. 80 + 32P + -16P = 32 + 16P + -16P Combine like terms: 32P + -16P = 16P 80 + 16P = 32 + 16P + -16P Combine like terms: 16P + -16P = 0 80 + 16P = 32 + 0 80 + 16P = 32 Add '-80' to each side of the equation. 80 + -80 + 16P = 32 + -80 Combine like terms: 80 + -80 = 0 0 + 16P = 32 + -80 16P = 32 + -80 Combine like terms: 32 + -80 = -48 16P = -48 Divide each side by '16'. P = -3 Simplifying P = -3
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