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Simplifying 5p + -3p + 17 = 9p + 4p + 39 Reorder the terms: 17 + 5p + -3p = 9p + 4p + 39 Combine like terms: 5p + -3p = 2p 17 + 2p = 9p + 4p + 39 Reorder the terms: 17 + 2p = 39 + 9p + 4p Combine like terms: 9p + 4p = 13p 17 + 2p = 39 + 13p Solving 17 + 2p = 39 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 17 + 2p + -13p = 39 + 13p + -13p Combine like terms: 2p + -13p = -11p 17 + -11p = 39 + 13p + -13p Combine like terms: 13p + -13p = 0 17 + -11p = 39 + 0 17 + -11p = 39 Add '-17' to each side of the equation. 17 + -17 + -11p = 39 + -17 Combine like terms: 17 + -17 = 0 0 + -11p = 39 + -17 -11p = 39 + -17 Combine like terms: 39 + -17 = 22 -11p = 22 Divide each side by '-11'. p = -2 Simplifying p = -2
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