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Simplifying 9.5 + -23.5p = 3.5(9p + 3) Reorder the terms: 9.5 + -23.5p = 3.5(3 + 9p) 9.5 + -23.5p = (3 * 3.5 + 9p * 3.5) 9.5 + -23.5p = (10.5 + 31.5p) Solving 9.5 + -23.5p = 10.5 + 31.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31.5p' to each side of the equation. 9.5 + -23.5p + -31.5p = 10.5 + 31.5p + -31.5p Combine like terms: -23.5p + -31.5p = -55p 9.5 + -55p = 10.5 + 31.5p + -31.5p Combine like terms: 31.5p + -31.5p = 0.0 9.5 + -55p = 10.5 + 0.0 9.5 + -55p = 10.5 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -55p = 10.5 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -55p = 10.5 + -9.5 -55p = 10.5 + -9.5 Combine like terms: 10.5 + -9.5 = 1 -55p = 1 Divide each side by '-55'. p = -0.01818181818 Simplifying p = -0.01818181818
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