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Simplifying 828.75 = p(6.5) * 1.5 Reorder the terms for easier multiplication: 828.75 = 6.5 * 1.5p Multiply 6.5 * 1.5 828.75 = 9.75p Solving 828.75 = 9.75p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9.75p' to each side of the equation. 828.75 + -9.75p = 9.75p + -9.75p Combine like terms: 9.75p + -9.75p = 0.00 828.75 + -9.75p = 0.00 Add '-828.75' to each side of the equation. 828.75 + -828.75 + -9.75p = 0.00 + -828.75 Combine like terms: 828.75 + -828.75 = 0.00 0.00 + -9.75p = 0.00 + -828.75 -9.75p = 0.00 + -828.75 Combine like terms: 0.00 + -828.75 = -828.75 -9.75p = -828.75 Divide each side by '-9.75'. p = 85 Simplifying p = 85
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