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Simplifying 5 + 17p + -1 = 8p + 46 + -5p Reorder the terms: 5 + -1 + 17p = 8p + 46 + -5p Combine like terms: 5 + -1 = 4 4 + 17p = 8p + 46 + -5p Reorder the terms: 4 + 17p = 46 + 8p + -5p Combine like terms: 8p + -5p = 3p 4 + 17p = 46 + 3p Solving 4 + 17p = 46 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 4 + 17p + -3p = 46 + 3p + -3p Combine like terms: 17p + -3p = 14p 4 + 14p = 46 + 3p + -3p Combine like terms: 3p + -3p = 0 4 + 14p = 46 + 0 4 + 14p = 46 Add '-4' to each side of the equation. 4 + -4 + 14p = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 14p = 46 + -4 14p = 46 + -4 Combine like terms: 46 + -4 = 42 14p = 42 Divide each side by '14'. p = 3 Simplifying p = 3
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