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Simplifying -2p + 4 = 2(7 + -2p) Reorder the terms: 4 + -2p = 2(7 + -2p) 4 + -2p = (7 * 2 + -2p * 2) 4 + -2p = (14 + -4p) Solving 4 + -2p = 14 + -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. 4 + -2p + 4p = 14 + -4p + 4p Combine like terms: -2p + 4p = 2p 4 + 2p = 14 + -4p + 4p Combine like terms: -4p + 4p = 0 4 + 2p = 14 + 0 4 + 2p = 14 Add '-4' to each side of the equation. 4 + -4 + 2p = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2p = 14 + -4 2p = 14 + -4 Combine like terms: 14 + -4 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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