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Simplifying -1(1 + -5p) + 8 = -17 + 2p (1 * -1 + -5p * -1) + 8 = -17 + 2p (-1 + 5p) + 8 = -17 + 2p Reorder the terms: -1 + 8 + 5p = -17 + 2p Combine like terms: -1 + 8 = 7 7 + 5p = -17 + 2p Solving 7 + 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. 7 + 5p + -2p = -17 + 2p + -2p Combine like terms: 5p + -2p = 3p 7 + 3p = -17 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 3p = -17 + 0 7 + 3p = -17 Add '-7' to each side of the equation. 7 + -7 + 3p = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = -17 + -7 3p = -17 + -7 Combine like terms: -17 + -7 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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