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Simplifying 14 + 6p = 4(p + 6) Reorder the terms: 14 + 6p = 4(6 + p) 14 + 6p = (6 * 4 + p * 4) 14 + 6p = (24 + 4p) Solving 14 + 6p = 24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 14 + 6p + -4p = 24 + 4p + -4p Combine like terms: 6p + -4p = 2p 14 + 2p = 24 + 4p + -4p Combine like terms: 4p + -4p = 0 14 + 2p = 24 + 0 14 + 2p = 24 Add '-14' to each side of the equation. 14 + -14 + 2p = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2p = 24 + -14 2p = 24 + -14 Combine like terms: 24 + -14 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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