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Simplifying p * 8 + -12 = 9 + -32 + p Reorder the terms for easier multiplication: 8p + -12 = 9 + -32 + p Reorder the terms: -12 + 8p = 9 + -32 + p Combine like terms: 9 + -32 = -23 -12 + 8p = -23 + p Solving -12 + 8p = -23 + p 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 + 8p + -1p = -23 + p + -1p Combine like terms: 8p + -1p = 7p -12 + 7p = -23 + p + -1p Combine like terms: p + -1p = 0 -12 + 7p = -23 + 0 -12 + 7p = -23 Add '12' to each side of the equation. -12 + 12 + 7p = -23 + 12 Combine like terms: -12 + 12 = 0 0 + 7p = -23 + 12 7p = -23 + 12 Combine like terms: -23 + 12 = -11 7p = -11 Divide each side by '7'. p = -1.571428571 Simplifying p = -1.571428571
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