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Simplifying 375 = 100 + 0.50(600 + -500r) 375 = 100 + (600 * 0.50 + -500r * 0.50) 375 = 100 + (300 + -250r) Combine like terms: 100 + 300 = 400 375 = 400 + -250r Solving 375 = 400 + -250r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '250r' to each side of the equation. 375 + 250r = 400 + -250r + 250r Combine like terms: -250r + 250r = 0 375 + 250r = 400 + 0 375 + 250r = 400 Add '-375' to each side of the equation. 375 + -375 + 250r = 400 + -375 Combine like terms: 375 + -375 = 0 0 + 250r = 400 + -375 250r = 400 + -375 Combine like terms: 400 + -375 = 25 250r = 25 Divide each side by '250'. r = 0.1 Simplifying r = 0.1
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