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Simplifying -1(3p + -5) = -1(p + 1) Reorder the terms: -1(-5 + 3p) = -1(p + 1) (-5 * -1 + 3p * -1) = -1(p + 1) (5 + -3p) = -1(p + 1) Reorder the terms: 5 + -3p = -1(1 + p) 5 + -3p = (1 * -1 + p * -1) 5 + -3p = (-1 + -1p) Solving 5 + -3p = -1 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 5 + -3p + p = -1 + -1p + p Combine like terms: -3p + p = -2p 5 + -2p = -1 + -1p + p Combine like terms: -1p + p = 0 5 + -2p = -1 + 0 5 + -2p = -1 Add '-5' to each side of the equation. 5 + -5 + -2p = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = -1 + -5 -2p = -1 + -5 Combine like terms: -1 + -5 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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