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Simplifying 5(-1p + 1) = 17 + -2p Reorder the terms: 5(1 + -1p) = 17 + -2p (1 * 5 + -1p * 5) = 17 + -2p (5 + -5p) = 17 + -2p Solving 5 + -5p = 17 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 5 + -5p + 2p = 17 + -2p + 2p Combine like terms: -5p + 2p = -3p 5 + -3p = 17 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + -3p = 17 + 0 5 + -3p = 17 Add '-5' to each side of the equation. 5 + -5 + -3p = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = 17 + -5 -3p = 17 + -5 Combine like terms: 17 + -5 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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