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Simplifying 3(3p + 5) = 2(p + 39) Reorder the terms: 3(5 + 3p) = 2(p + 39) (5 * 3 + 3p * 3) = 2(p + 39) (15 + 9p) = 2(p + 39) Reorder the terms: 15 + 9p = 2(39 + p) 15 + 9p = (39 * 2 + p * 2) 15 + 9p = (78 + 2p) Solving 15 + 9p = 78 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 15 + 9p + -2p = 78 + 2p + -2p Combine like terms: 9p + -2p = 7p 15 + 7p = 78 + 2p + -2p Combine like terms: 2p + -2p = 0 15 + 7p = 78 + 0 15 + 7p = 78 Add '-15' to each side of the equation. 15 + -15 + 7p = 78 + -15 Combine like terms: 15 + -15 = 0 0 + 7p = 78 + -15 7p = 78 + -15 Combine like terms: 78 + -15 = 63 7p = 63 Divide each side by '7'. p = 9 Simplifying p = 9
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