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Simplifying 14 + 5p = 3(p + 4) Reorder the terms: 14 + 5p = 3(4 + p) 14 + 5p = (4 * 3 + p * 3) 14 + 5p = (12 + 3p) Solving 14 + 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. 14 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p 14 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 14 + 2p = 12 + 0 14 + 2p = 12 Add '-14' to each side of the equation. 14 + -14 + 2p = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2p = 12 + -14 2p = 12 + -14 Combine like terms: 12 + -14 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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