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Simplifying 3(p + 8) + p = 2(p + 6) Reorder the terms: 3(8 + p) + p = 2(p + 6) (8 * 3 + p * 3) + p = 2(p + 6) (24 + 3p) + p = 2(p + 6) Combine like terms: 3p + p = 4p 24 + 4p = 2(p + 6) Reorder the terms: 24 + 4p = 2(6 + p) 24 + 4p = (6 * 2 + p * 2) 24 + 4p = (12 + 2p) Solving 24 + 4p = 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. 24 + 4p + -2p = 12 + 2p + -2p Combine like terms: 4p + -2p = 2p 24 + 2p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 24 + 2p = 12 + 0 24 + 2p = 12 Add '-24' to each side of the equation. 24 + -24 + 2p = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2p = 12 + -24 2p = 12 + -24 Combine like terms: 12 + -24 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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