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Simplifying 7(p + 14) + -6 = 32 + -8p Reorder the terms: 7(14 + p) + -6 = 32 + -8p (14 * 7 + p * 7) + -6 = 32 + -8p (98 + 7p) + -6 = 32 + -8p Reorder the terms: 98 + -6 + 7p = 32 + -8p Combine like terms: 98 + -6 = 92 92 + 7p = 32 + -8p Solving 92 + 7p = 32 + -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. 92 + 7p + 8p = 32 + -8p + 8p Combine like terms: 7p + 8p = 15p 92 + 15p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 92 + 15p = 32 + 0 92 + 15p = 32 Add '-92' to each side of the equation. 92 + -92 + 15p = 32 + -92 Combine like terms: 92 + -92 = 0 0 + 15p = 32 + -92 15p = 32 + -92 Combine like terms: 32 + -92 = -60 15p = -60 Divide each side by '15'. p = -4 Simplifying p = -4
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