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Simplifying 20 + 9p = 7(p + 4) Reorder the terms: 20 + 9p = 7(4 + p) 20 + 9p = (4 * 7 + p * 7) 20 + 9p = (28 + 7p) Solving 20 + 9p = 28 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 20 + 9p + -7p = 28 + 7p + -7p Combine like terms: 9p + -7p = 2p 20 + 2p = 28 + 7p + -7p Combine like terms: 7p + -7p = 0 20 + 2p = 28 + 0 20 + 2p = 28 Add '-20' to each side of the equation. 20 + -20 + 2p = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 2p = 28 + -20 2p = 28 + -20 Combine like terms: 28 + -20 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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