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Simplifying 17 + -7p = 8(2p + 5) Reorder the terms: 17 + -7p = 8(5 + 2p) 17 + -7p = (5 * 8 + 2p * 8) 17 + -7p = (40 + 16p) Solving 17 + -7p = 40 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 17 + -7p + -16p = 40 + 16p + -16p Combine like terms: -7p + -16p = -23p 17 + -23p = 40 + 16p + -16p Combine like terms: 16p + -16p = 0 17 + -23p = 40 + 0 17 + -23p = 40 Add '-17' to each side of the equation. 17 + -17 + -23p = 40 + -17 Combine like terms: 17 + -17 = 0 0 + -23p = 40 + -17 -23p = 40 + -17 Combine like terms: 40 + -17 = 23 -23p = 23 Divide each side by '-23'. p = -1 Simplifying p = -1
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