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Simplifying 7 + 3p + -6 = 8p + 9 + -6p Reorder the terms: 7 + -6 + 3p = 8p + 9 + -6p Combine like terms: 7 + -6 = 1 1 + 3p = 8p + 9 + -6p Reorder the terms: 1 + 3p = 9 + 8p + -6p Combine like terms: 8p + -6p = 2p 1 + 3p = 9 + 2p Solving 1 + 3p = 9 + 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 + 3p + -2p = 9 + 2p + -2p Combine like terms: 3p + -2p = 1p 1 + 1p = 9 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 1p = 9 + 0 1 + 1p = 9 Add '-1' to each side of the equation. 1 + -1 + 1p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1p = 9 + -1 1p = 9 + -1 Combine like terms: 9 + -1 = 8 1p = 8 Divide each side by '1'. p = 8 Simplifying p = 8
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