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Simplifying 9 + 7p + -8 = 9p + 16 + -5p Reorder the terms: 9 + -8 + 7p = 9p + 16 + -5p Combine like terms: 9 + -8 = 1 1 + 7p = 9p + 16 + -5p Reorder the terms: 1 + 7p = 16 + 9p + -5p Combine like terms: 9p + -5p = 4p 1 + 7p = 16 + 4p Solving 1 + 7p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 1 + 7p + -4p = 16 + 4p + -4p Combine like terms: 7p + -4p = 3p 1 + 3p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 3p = 16 + 0 1 + 3p = 16 Add '-1' to each side of the equation. 1 + -1 + 3p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 16 + -1 3p = 16 + -1 Combine like terms: 16 + -1 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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