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Simplifying 9 + 2p + -8 = 7p + 7 + -2p Reorder the terms: 9 + -8 + 2p = 7p + 7 + -2p Combine like terms: 9 + -8 = 1 1 + 2p = 7p + 7 + -2p Reorder the terms: 1 + 2p = 7 + 7p + -2p Combine like terms: 7p + -2p = 5p 1 + 2p = 7 + 5p Solving 1 + 2p = 7 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 1 + 2p + -5p = 7 + 5p + -5p Combine like terms: 2p + -5p = -3p 1 + -3p = 7 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + -3p = 7 + 0 1 + -3p = 7 Add '-1' to each side of the equation. 1 + -1 + -3p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 7 + -1 -3p = 7 + -1 Combine like terms: 7 + -1 = 6 -3p = 6 Divide each side by '-3'. p = -2 Simplifying p = -2
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