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Simplifying 10(p(0.5) + 14.50) = 345 Reorder the terms for easier multiplication: 10(0.5p + 14.50) = 345 Reorder the terms: 10(14.50 + 0.5p) = 345 (14.50 * 10 + 0.5p * 10) = 345 (145 + 5p) = 345 Solving 145 + 5p = 345 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + 5p = 345 + -145 Combine like terms: 145 + -145 = 0 0 + 5p = 345 + -145 5p = 345 + -145 Combine like terms: 345 + -145 = 200 5p = 200 Divide each side by '5'. p = 40 Simplifying p = 40
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