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Simplifying 0.10p + 15 = 0.15p + 10 Reorder the terms: 15 + 0.10p = 0.15p + 10 Reorder the terms: 15 + 0.10p = 10 + 0.15p Solving 15 + 0.10p = 10 + 0.15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.15p' to each side of the equation. 15 + 0.10p + -0.15p = 10 + 0.15p + -0.15p Combine like terms: 0.10p + -0.15p = -0.05p 15 + -0.05p = 10 + 0.15p + -0.15p Combine like terms: 0.15p + -0.15p = 0.00 15 + -0.05p = 10 + 0.00 15 + -0.05p = 10 Add '-15' to each side of the equation. 15 + -15 + -0.05p = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.05p = 10 + -15 -0.05p = 10 + -15 Combine like terms: 10 + -15 = -5 -0.05p = -5 Divide each side by '-0.05'. p = 100 Simplifying p = 100
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