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Simplifying 9p + 1 = 7(p + 3) Reorder the terms: 1 + 9p = 7(p + 3) Reorder the terms: 1 + 9p = 7(3 + p) 1 + 9p = (3 * 7 + p * 7) 1 + 9p = (21 + 7p) Solving 1 + 9p = 21 + 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. 1 + 9p + -7p = 21 + 7p + -7p Combine like terms: 9p + -7p = 2p 1 + 2p = 21 + 7p + -7p Combine like terms: 7p + -7p = 0 1 + 2p = 21 + 0 1 + 2p = 21 Add '-1' to each side of the equation. 1 + -1 + 2p = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 21 + -1 2p = 21 + -1 Combine like terms: 21 + -1 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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