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Simplifying 3(p + 5) = 19 + p Reorder the terms: 3(5 + p) = 19 + p (5 * 3 + p * 3) = 19 + p (15 + 3p) = 19 + p Solving 15 + 3p = 19 + 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 + 3p + -1p = 19 + p + -1p Combine like terms: 3p + -1p = 2p 15 + 2p = 19 + p + -1p Combine like terms: p + -1p = 0 15 + 2p = 19 + 0 15 + 2p = 19 Add '-15' to each side of the equation. 15 + -15 + 2p = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 2p = 19 + -15 2p = 19 + -15 Combine like terms: 19 + -15 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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