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Simplifying 3(p + 7) = p + 43 Reorder the terms: 3(7 + p) = p + 43 (7 * 3 + p * 3) = p + 43 (21 + 3p) = p + 43 Reorder the terms: 21 + 3p = 43 + p Solving 21 + 3p = 43 + 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. 21 + 3p + -1p = 43 + p + -1p Combine like terms: 3p + -1p = 2p 21 + 2p = 43 + p + -1p Combine like terms: p + -1p = 0 21 + 2p = 43 + 0 21 + 2p = 43 Add '-21' to each side of the equation. 21 + -21 + 2p = 43 + -21 Combine like terms: 21 + -21 = 0 0 + 2p = 43 + -21 2p = 43 + -21 Combine like terms: 43 + -21 = 22 2p = 22 Divide each side by '2'. p = 11 Simplifying p = 11
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