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Simplifying 0.5r + 2 = 3 + -4r Reorder the terms: 2 + 0.5r = 3 + -4r Solving 2 + 0.5r = 3 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 2 + 0.5r + 4r = 3 + -4r + 4r Combine like terms: 0.5r + 4r = 4.5r 2 + 4.5r = 3 + -4r + 4r Combine like terms: -4r + 4r = 0 2 + 4.5r = 3 + 0 2 + 4.5r = 3 Add '-2' to each side of the equation. 2 + -2 + 4.5r = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 4.5r = 3 + -2 4.5r = 3 + -2 Combine like terms: 3 + -2 = 1 4.5r = 1 Divide each side by '4.5'. r = 0.2222222222 Simplifying r = 0.2222222222
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