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Simplifying 5(p + 3) = 3(p + 3) Reorder the terms: 5(3 + p) = 3(p + 3) (3 * 5 + p * 5) = 3(p + 3) (15 + 5p) = 3(p + 3) Reorder the terms: 15 + 5p = 3(3 + p) 15 + 5p = (3 * 3 + p * 3) 15 + 5p = (9 + 3p) Solving 15 + 5p = 9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 15 + 5p + -3p = 9 + 3p + -3p Combine like terms: 5p + -3p = 2p 15 + 2p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 15 + 2p = 9 + 0 15 + 2p = 9 Add '-15' to each side of the equation. 15 + -15 + 2p = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 2p = 9 + -15 2p = 9 + -15 Combine like terms: 9 + -15 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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