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Simplifying 0.10(r + 5.00) = 2.40 Reorder the terms: 0.10(5.00 + r) = 2.40 (5.00 * 0.10 + r * 0.10) = 2.40 (0.5 + 0.10r) = 2.40 Solving 0.5 + 0.10r = 2.40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.10r = 2.40 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.10r = 2.40 + -0.5 0.10r = 2.40 + -0.5 Combine like terms: 2.40 + -0.5 = 1.9 0.10r = 1.9 Divide each side by '0.10'. r = 19 Simplifying r = 19
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