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Simplifying 8 + 17p + -7 = 5p + 46 + -3p Reorder the terms: 8 + -7 + 17p = 5p + 46 + -3p Combine like terms: 8 + -7 = 1 1 + 17p = 5p + 46 + -3p Reorder the terms: 1 + 17p = 46 + 5p + -3p Combine like terms: 5p + -3p = 2p 1 + 17p = 46 + 2p Solving 1 + 17p = 46 + 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 + 17p + -2p = 46 + 2p + -2p Combine like terms: 17p + -2p = 15p 1 + 15p = 46 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 15p = 46 + 0 1 + 15p = 46 Add '-1' to each side of the equation. 1 + -1 + 15p = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 15p = 46 + -1 15p = 46 + -1 Combine like terms: 46 + -1 = 45 15p = 45 Divide each side by '15'. p = 3 Simplifying p = 3
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