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Simplifying -0.5 + 2r = 0.5r + 8.5 Reorder the terms: -0.5 + 2r = 8.5 + 0.5r Solving -0.5 + 2r = 8.5 + 0.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5r' to each side of the equation. -0.5 + 2r + -0.5r = 8.5 + 0.5r + -0.5r Combine like terms: 2r + -0.5r = 1.5r -0.5 + 1.5r = 8.5 + 0.5r + -0.5r Combine like terms: 0.5r + -0.5r = 0.0 -0.5 + 1.5r = 8.5 + 0.0 -0.5 + 1.5r = 8.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.5r = 8.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.5r = 8.5 + 0.5 1.5r = 8.5 + 0.5 Combine like terms: 8.5 + 0.5 = 9 1.5r = 9 Divide each side by '1.5'. r = 6 Simplifying r = 6
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