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Simplifying 6 + 2p + -5 = 9p + 7 + -6p Reorder the terms: 6 + -5 + 2p = 9p + 7 + -6p Combine like terms: 6 + -5 = 1 1 + 2p = 9p + 7 + -6p Reorder the terms: 1 + 2p = 7 + 9p + -6p Combine like terms: 9p + -6p = 3p 1 + 2p = 7 + 3p Solving 1 + 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. 1 + 2p + -3p = 7 + 3p + -3p Combine like terms: 2p + -3p = -1p 1 + -1p = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + -1p = 7 + 0 1 + -1p = 7 Add '-1' to each side of the equation. 1 + -1 + -1p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 7 + -1 -1p = 7 + -1 Combine like terms: 7 + -1 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6
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