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Simplifying 9p + 6 = 8p + 13 Reorder the terms: 6 + 9p = 8p + 13 Reorder the terms: 6 + 9p = 13 + 8p Solving 6 + 9p = 13 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 6 + 9p + -8p = 13 + 8p + -8p Combine like terms: 9p + -8p = 1p 6 + 1p = 13 + 8p + -8p Combine like terms: 8p + -8p = 0 6 + 1p = 13 + 0 6 + 1p = 13 Add '-6' to each side of the equation. 6 + -6 + 1p = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = 13 + -6 1p = 13 + -6 Combine like terms: 13 + -6 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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