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Simplifying p + 4 + 8 = 1 + -9p + 5 + 11p Reorder the terms: 4 + 8 + p = 1 + -9p + 5 + 11p Combine like terms: 4 + 8 = 12 12 + p = 1 + -9p + 5 + 11p Reorder the terms: 12 + p = 1 + 5 + -9p + 11p Combine like terms: 1 + 5 = 6 12 + p = 6 + -9p + 11p Combine like terms: -9p + 11p = 2p 12 + p = 6 + 2p Solving 12 + p = 6 + 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. 12 + p + -2p = 6 + 2p + -2p Combine like terms: p + -2p = -1p 12 + -1p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + -1p = 6 + 0 12 + -1p = 6 Add '-12' to each side of the equation. 12 + -12 + -1p = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 6 + -12 -1p = 6 + -12 Combine like terms: 6 + -12 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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