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Simplifying p + 8 + p + 6 = p + 45 Reorder the terms: 8 + 6 + p + p = p + 45 Combine like terms: 8 + 6 = 14 14 + p + p = p + 45 Combine like terms: p + p = 2p 14 + 2p = p + 45 Reorder the terms: 14 + 2p = 45 + p Solving 14 + 2p = 45 + 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. 14 + 2p + -1p = 45 + p + -1p Combine like terms: 2p + -1p = 1p 14 + 1p = 45 + p + -1p Combine like terms: p + -1p = 0 14 + 1p = 45 + 0 14 + 1p = 45 Add '-14' to each side of the equation. 14 + -14 + 1p = 45 + -14 Combine like terms: 14 + -14 = 0 0 + 1p = 45 + -14 1p = 45 + -14 Combine like terms: 45 + -14 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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