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Simplifying 9(p + -1) = 3p + 2(7 + 2p) + 1 Reorder the terms: 9(-1 + p) = 3p + 2(7 + 2p) + 1 (-1 * 9 + p * 9) = 3p + 2(7 + 2p) + 1 (-9 + 9p) = 3p + 2(7 + 2p) + 1 -9 + 9p = 3p + (7 * 2 + 2p * 2) + 1 -9 + 9p = 3p + (14 + 4p) + 1 Reorder the terms: -9 + 9p = 14 + 1 + 3p + 4p Combine like terms: 14 + 1 = 15 -9 + 9p = 15 + 3p + 4p Combine like terms: 3p + 4p = 7p -9 + 9p = 15 + 7p Solving -9 + 9p = 15 + 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. -9 + 9p + -7p = 15 + 7p + -7p Combine like terms: 9p + -7p = 2p -9 + 2p = 15 + 7p + -7p Combine like terms: 7p + -7p = 0 -9 + 2p = 15 + 0 -9 + 2p = 15 Add '9' to each side of the equation. -9 + 9 + 2p = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = 15 + 9 2p = 15 + 9 Combine like terms: 15 + 9 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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