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Simplifying 5(p + 3 + 9) = 3(p + -2 + 6) Reorder the terms: 5(3 + 9 + p) = 3(p + -2 + 6) Combine like terms: 3 + 9 = 12 5(12 + p) = 3(p + -2 + 6) (12 * 5 + p * 5) = 3(p + -2 + 6) (60 + 5p) = 3(p + -2 + 6) Reorder the terms: 60 + 5p = 3(-2 + 6 + p) Combine like terms: -2 + 6 = 4 60 + 5p = 3(4 + p) 60 + 5p = (4 * 3 + p * 3) 60 + 5p = (12 + 3p) Solving 60 + 5p = 12 + 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. 60 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p 60 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 60 + 2p = 12 + 0 60 + 2p = 12 Add '-60' to each side of the equation. 60 + -60 + 2p = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 2p = 12 + -60 2p = 12 + -60 Combine like terms: 12 + -60 = -48 2p = -48 Divide each side by '2'. p = -24 Simplifying p = -24
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