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Simplifying 7 + 8p + -6 = 9p + 13 + -7p Reorder the terms: 7 + -6 + 8p = 9p + 13 + -7p Combine like terms: 7 + -6 = 1 1 + 8p = 9p + 13 + -7p Reorder the terms: 1 + 8p = 13 + 9p + -7p Combine like terms: 9p + -7p = 2p 1 + 8p = 13 + 2p Solving 1 + 8p = 13 + 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 + 8p + -2p = 13 + 2p + -2p Combine like terms: 8p + -2p = 6p 1 + 6p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 6p = 13 + 0 1 + 6p = 13 Add '-1' to each side of the equation. 1 + -1 + 6p = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 13 + -1 6p = 13 + -1 Combine like terms: 13 + -1 = 12 6p = 12 Divide each side by '6'. p = 2 Simplifying p = 2
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