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Simplifying -4(-5p + -1) = 3[-2p + 2(-1p + -5)] Reorder the terms: -4(-1 + -5p) = 3[-2p + 2(-1p + -5)] (-1 * -4 + -5p * -4) = 3[-2p + 2(-1p + -5)] (4 + 20p) = 3[-2p + 2(-1p + -5)] Reorder the terms: 4 + 20p = 3[-2p + 2(-5 + -1p)] 4 + 20p = 3[-2p + (-5 * 2 + -1p * 2)] 4 + 20p = 3[-2p + (-10 + -2p)] Reorder the terms: 4 + 20p = 3[-10 + -2p + -2p] Combine like terms: -2p + -2p = -4p 4 + 20p = 3[-10 + -4p] 4 + 20p = [-10 * 3 + -4p * 3] 4 + 20p = [-30 + -12p] Solving 4 + 20p = -30 + -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. 4 + 20p + 12p = -30 + -12p + 12p Combine like terms: 20p + 12p = 32p 4 + 32p = -30 + -12p + 12p Combine like terms: -12p + 12p = 0 4 + 32p = -30 + 0 4 + 32p = -30 Add '-4' to each side of the equation. 4 + -4 + 32p = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 32p = -30 + -4 32p = -30 + -4 Combine like terms: -30 + -4 = -34 32p = -34 Divide each side by '32'. p = -1.0625 Simplifying p = -1.0625
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