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Simplifying 13(p + 3) = 15(p + 2) Reorder the terms: 13(3 + p) = 15(p + 2) (3 * 13 + p * 13) = 15(p + 2) (39 + 13p) = 15(p + 2) Reorder the terms: 39 + 13p = 15(2 + p) 39 + 13p = (2 * 15 + p * 15) 39 + 13p = (30 + 15p) Solving 39 + 13p = 30 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 39 + 13p + -15p = 30 + 15p + -15p Combine like terms: 13p + -15p = -2p 39 + -2p = 30 + 15p + -15p Combine like terms: 15p + -15p = 0 39 + -2p = 30 + 0 39 + -2p = 30 Add '-39' to each side of the equation. 39 + -39 + -2p = 30 + -39 Combine like terms: 39 + -39 = 0 0 + -2p = 30 + -39 -2p = 30 + -39 Combine like terms: 30 + -39 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5
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