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Simplifying 5(p + 3) = 2(p + 6) Reorder the terms: 5(3 + p) = 2(p + 6) (3 * 5 + p * 5) = 2(p + 6) (15 + 5p) = 2(p + 6) Reorder the terms: 15 + 5p = 2(6 + p) 15 + 5p = (6 * 2 + p * 2) 15 + 5p = (12 + 2p) Solving 15 + 5p = 12 + 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 + 5p + -2p = 12 + 2p + -2p Combine like terms: 5p + -2p = 3p 15 + 3p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 15 + 3p = 12 + 0 15 + 3p = 12 Add '-15' to each side of the equation. 15 + -15 + 3p = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3p = 12 + -15 3p = 12 + -15 Combine like terms: 12 + -15 = -3 3p = -3 Divide each side by '3'. p = -1 Simplifying p = -1
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