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Simplifying 5 + 13p + -3 = 9p + 46 + -7p Reorder the terms: 5 + -3 + 13p = 9p + 46 + -7p Combine like terms: 5 + -3 = 2 2 + 13p = 9p + 46 + -7p Reorder the terms: 2 + 13p = 46 + 9p + -7p Combine like terms: 9p + -7p = 2p 2 + 13p = 46 + 2p Solving 2 + 13p = 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. 2 + 13p + -2p = 46 + 2p + -2p Combine like terms: 13p + -2p = 11p 2 + 11p = 46 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + 11p = 46 + 0 2 + 11p = 46 Add '-2' to each side of the equation. 2 + -2 + 11p = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 11p = 46 + -2 11p = 46 + -2 Combine like terms: 46 + -2 = 44 11p = 44 Divide each side by '11'. p = 4 Simplifying p = 4
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