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