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Simplifying 0.5(8r + 10) = 17 Reorder the terms: 0.5(10 + 8r) = 17 (10 * 0.5 + 8r * 0.5) = 17 (5 + 4r) = 17 Solving 5 + 4r = 17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4r = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = 17 + -5 4r = 17 + -5 Combine like terms: 17 + -5 = 12 4r = 12 Divide each side by '4'. r = 3 Simplifying r = 3
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