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Simplifying 12 = -8p + 11 + 9p Reorder the terms: 12 = 11 + -8p + 9p Combine like terms: -8p + 9p = 1p 12 = 11 + 1p Solving 12 = 11 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 12 + -1p = 11 + 1p + -1p Combine like terms: 1p + -1p = 0 12 + -1p = 11 + 0 12 + -1p = 11 Add '-12' to each side of the equation. 12 + -12 + -1p = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 11 + -12 -1p = 11 + -12 Combine like terms: 11 + -12 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1
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