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Simplifying 2p + 15 = 40 + -0.5p Reorder the terms: 15 + 2p = 40 + -0.5p Solving 15 + 2p = 40 + -0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.5p' to each side of the equation. 15 + 2p + 0.5p = 40 + -0.5p + 0.5p Combine like terms: 2p + 0.5p = 2.5p 15 + 2.5p = 40 + -0.5p + 0.5p Combine like terms: -0.5p + 0.5p = 0.0 15 + 2.5p = 40 + 0.0 15 + 2.5p = 40 Add '-15' to each side of the equation. 15 + -15 + 2.5p = 40 + -15 Combine like terms: 15 + -15 = 0 0 + 2.5p = 40 + -15 2.5p = 40 + -15 Combine like terms: 40 + -15 = 25 2.5p = 25 Divide each side by '2.5'. p = 10 Simplifying p = 10
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