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Simplifying 5 + 11p + -4 = 8p + 46 + -6p Reorder the terms: 5 + -4 + 11p = 8p + 46 + -6p Combine like terms: 5 + -4 = 1 1 + 11p = 8p + 46 + -6p Reorder the terms: 1 + 11p = 46 + 8p + -6p Combine like terms: 8p + -6p = 2p 1 + 11p = 46 + 2p Solving 1 + 11p = 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 + 11p + -2p = 46 + 2p + -2p Combine like terms: 11p + -2p = 9p 1 + 9p = 46 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 9p = 46 + 0 1 + 9p = 46 Add '-1' to each side of the equation. 1 + -1 + 9p = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9p = 46 + -1 9p = 46 + -1 Combine like terms: 46 + -1 = 45 9p = 45 Divide each side by '9'. p = 5 Simplifying p = 5
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