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Simplifying -5p + -1(4p + 3) = 4(3 + -2p) Reorder the terms: -5p + -1(3 + 4p) = 4(3 + -2p) -5p + (3 * -1 + 4p * -1) = 4(3 + -2p) -5p + (-3 + -4p) = 4(3 + -2p) Reorder the terms: -3 + -5p + -4p = 4(3 + -2p) Combine like terms: -5p + -4p = -9p -3 + -9p = 4(3 + -2p) -3 + -9p = (3 * 4 + -2p * 4) -3 + -9p = (12 + -8p) Solving -3 + -9p = 12 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -3 + -9p + 8p = 12 + -8p + 8p Combine like terms: -9p + 8p = -1p -3 + -1p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 -3 + -1p = 12 + 0 -3 + -1p = 12 Add '3' to each side of the equation. -3 + 3 + -1p = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 12 + 3 -1p = 12 + 3 Combine like terms: 12 + 3 = 15 -1p = 15 Divide each side by '-1'. p = -15 Simplifying p = -15
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