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Simplifying 7 + 17p + -5 = 9p + 86 + -4p Reorder the terms: 7 + -5 + 17p = 9p + 86 + -4p Combine like terms: 7 + -5 = 2 2 + 17p = 9p + 86 + -4p Reorder the terms: 2 + 17p = 86 + 9p + -4p Combine like terms: 9p + -4p = 5p 2 + 17p = 86 + 5p Solving 2 + 17p = 86 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 17p + -5p = 86 + 5p + -5p Combine like terms: 17p + -5p = 12p 2 + 12p = 86 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 12p = 86 + 0 2 + 12p = 86 Add '-2' to each side of the equation. 2 + -2 + 12p = 86 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = 86 + -2 12p = 86 + -2 Combine like terms: 86 + -2 = 84 12p = 84 Divide each side by '12'. p = 7 Simplifying p = 7
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