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Simplifying -6(p + 6) + 5 = -17 + -8p Reorder the terms: -6(6 + p) + 5 = -17 + -8p (6 * -6 + p * -6) + 5 = -17 + -8p (-36 + -6p) + 5 = -17 + -8p Reorder the terms: -36 + 5 + -6p = -17 + -8p Combine like terms: -36 + 5 = -31 -31 + -6p = -17 + -8p Solving -31 + -6p = -17 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -31 + -6p + 8p = -17 + -8p + 8p Combine like terms: -6p + 8p = 2p -31 + 2p = -17 + -8p + 8p Combine like terms: -8p + 8p = 0 -31 + 2p = -17 + 0 -31 + 2p = -17 Add '31' to each side of the equation. -31 + 31 + 2p = -17 + 31 Combine like terms: -31 + 31 = 0 0 + 2p = -17 + 31 2p = -17 + 31 Combine like terms: -17 + 31 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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