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Simplifying -2p + 7 = 5 + -9p + 6 Reorder the terms: 7 + -2p = 5 + -9p + 6 Reorder the terms: 7 + -2p = 5 + 6 + -9p Combine like terms: 5 + 6 = 11 7 + -2p = 11 + -9p Solving 7 + -2p = 11 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 7 + -2p + 9p = 11 + -9p + 9p Combine like terms: -2p + 9p = 7p 7 + 7p = 11 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 7p = 11 + 0 7 + 7p = 11 Add '-7' to each side of the equation. 7 + -7 + 7p = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 11 + -7 7p = 11 + -7 Combine like terms: 11 + -7 = 4 7p = 4 Divide each side by '7'. p = 0.5714285714 Simplifying p = 0.5714285714
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