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Simplifying 3(p + 6) = p + 30 Reorder the terms: 3(6 + p) = p + 30 (6 * 3 + p * 3) = p + 30 (18 + 3p) = p + 30 Reorder the terms: 18 + 3p = 30 + p Solving 18 + 3p = 30 + 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. 18 + 3p + -1p = 30 + p + -1p Combine like terms: 3p + -1p = 2p 18 + 2p = 30 + p + -1p Combine like terms: p + -1p = 0 18 + 2p = 30 + 0 18 + 2p = 30 Add '-18' to each side of the equation. 18 + -18 + 2p = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = 30 + -18 2p = 30 + -18 Combine like terms: 30 + -18 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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