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Simplifying (2p + 1) + 7p = 40 + 2p Reorder the terms: (1 + 2p) + 7p = 40 + 2p Remove parenthesis around (1 + 2p) 1 + 2p + 7p = 40 + 2p Combine like terms: 2p + 7p = 9p 1 + 9p = 40 + 2p Solving 1 + 9p = 40 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 1 + 9p + -2p = 40 + 2p + -2p Combine like terms: 9p + -2p = 7p 1 + 7p = 40 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 7p = 40 + 0 1 + 7p = 40 Add '-1' to each side of the equation. 1 + -1 + 7p = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 7p = 40 + -1 7p = 40 + -1 Combine like terms: 40 + -1 = 39 7p = 39 Divide each side by '7'. p = 5.571428571 Simplifying p = 5.571428571
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