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Simplifying -8(p + 2) + 17 = -6p + -5 Reorder the terms: -8(2 + p) + 17 = -6p + -5 (2 * -8 + p * -8) + 17 = -6p + -5 (-16 + -8p) + 17 = -6p + -5 Reorder the terms: -16 + 17 + -8p = -6p + -5 Combine like terms: -16 + 17 = 1 1 + -8p = -6p + -5 Reorder the terms: 1 + -8p = -5 + -6p Solving 1 + -8p = -5 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 1 + -8p + 6p = -5 + -6p + 6p Combine like terms: -8p + 6p = -2p 1 + -2p = -5 + -6p + 6p Combine like terms: -6p + 6p = 0 1 + -2p = -5 + 0 1 + -2p = -5 Add '-1' to each side of the equation. 1 + -1 + -2p = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = -5 + -1 -2p = -5 + -1 Combine like terms: -5 + -1 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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