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Simplifying 0.475(100 + -10r) = 379.5 + -10r (100 * 0.475 + -10r * 0.475) = 379.5 + -10r (47.5 + -4.75r) = 379.5 + -10r Solving 47.5 + -4.75r = 379.5 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 47.5 + -4.75r + 10r = 379.5 + -10r + 10r Combine like terms: -4.75r + 10r = 5.25r 47.5 + 5.25r = 379.5 + -10r + 10r Combine like terms: -10r + 10r = 0 47.5 + 5.25r = 379.5 + 0 47.5 + 5.25r = 379.5 Add '-47.5' to each side of the equation. 47.5 + -47.5 + 5.25r = 379.5 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 0.0 + 5.25r = 379.5 + -47.5 5.25r = 379.5 + -47.5 Combine like terms: 379.5 + -47.5 = 332 5.25r = 332 Divide each side by '5.25'. r = 63.23809524 Simplifying r = 63.23809524
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