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Simplifying p + 18 + 9p = 9p + 31 Reorder the terms: 18 + p + 9p = 9p + 31 Combine like terms: p + 9p = 10p 18 + 10p = 9p + 31 Reorder the terms: 18 + 10p = 31 + 9p Solving 18 + 10p = 31 + 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. 18 + 10p + -9p = 31 + 9p + -9p Combine like terms: 10p + -9p = 1p 18 + 1p = 31 + 9p + -9p Combine like terms: 9p + -9p = 0 18 + 1p = 31 + 0 18 + 1p = 31 Add '-18' to each side of the equation. 18 + -18 + 1p = 31 + -18 Combine like terms: 18 + -18 = 0 0 + 1p = 31 + -18 1p = 31 + -18 Combine like terms: 31 + -18 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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