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Simplifying 8 + 11p + -5 = 7p + 12 + -5p Reorder the terms: 8 + -5 + 11p = 7p + 12 + -5p Combine like terms: 8 + -5 = 3 3 + 11p = 7p + 12 + -5p Reorder the terms: 3 + 11p = 12 + 7p + -5p Combine like terms: 7p + -5p = 2p 3 + 11p = 12 + 2p Solving 3 + 11p = 12 + 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. 3 + 11p + -2p = 12 + 2p + -2p Combine like terms: 11p + -2p = 9p 3 + 9p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 9p = 12 + 0 3 + 9p = 12 Add '-3' to each side of the equation. 3 + -3 + 9p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 12 + -3 9p = 12 + -3 Combine like terms: 12 + -3 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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