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Simplifying 102 = p + -15 + 8p Reorder the terms: 102 = -15 + p + 8p Combine like terms: p + 8p = 9p 102 = -15 + 9p Solving 102 = -15 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 102 + -9p = -15 + 9p + -9p Combine like terms: 9p + -9p = 0 102 + -9p = -15 + 0 102 + -9p = -15 Add '-102' to each side of the equation. 102 + -102 + -9p = -15 + -102 Combine like terms: 102 + -102 = 0 0 + -9p = -15 + -102 -9p = -15 + -102 Combine like terms: -15 + -102 = -117 -9p = -117 Divide each side by '-9'. p = 13 Simplifying p = 13
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