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Simplifying 51 = 6 + 5.50p + 3.50p Combine like terms: 5.50p + 3.50p = 9p 51 = 6 + 9p Solving 51 = 6 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 51 + -9p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 51 + -9p = 6 + 0 51 + -9p = 6 Add '-51' to each side of the equation. 51 + -51 + -9p = 6 + -51 Combine like terms: 51 + -51 = 0 0 + -9p = 6 + -51 -9p = 6 + -51 Combine like terms: 6 + -51 = -45 -9p = -45 Divide each side by '-9'. p = 5 Simplifying p = 5
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