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Simplifying 2(p + 5) + 5 = p + -14 Reorder the terms: 2(5 + p) + 5 = p + -14 (5 * 2 + p * 2) + 5 = p + -14 (10 + 2p) + 5 = p + -14 Reorder the terms: 10 + 5 + 2p = p + -14 Combine like terms: 10 + 5 = 15 15 + 2p = p + -14 Reorder the terms: 15 + 2p = -14 + p Solving 15 + 2p = -14 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 15 + 2p + -1p = -14 + p + -1p Combine like terms: 2p + -1p = 1p 15 + 1p = -14 + p + -1p Combine like terms: p + -1p = 0 15 + 1p = -14 + 0 15 + 1p = -14 Add '-15' to each side of the equation. 15 + -15 + 1p = -14 + -15 Combine like terms: 15 + -15 = 0 0 + 1p = -14 + -15 1p = -14 + -15 Combine like terms: -14 + -15 = -29 1p = -29 Divide each side by '1'. p = -29 Simplifying p = -29
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