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Simplifying 0.5r + 3 = 2r + -1 Reorder the terms: 3 + 0.5r = 2r + -1 Reorder the terms: 3 + 0.5r = -1 + 2r Solving 3 + 0.5r = -1 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 0.5r + -2r = -1 + 2r + -2r Combine like terms: 0.5r + -2r = -1.5r 3 + -1.5r = -1 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + -1.5r = -1 + 0 3 + -1.5r = -1 Add '-3' to each side of the equation. 3 + -3 + -1.5r = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5r = -1 + -3 -1.5r = -1 + -3 Combine like terms: -1 + -3 = -4 -1.5r = -4 Divide each side by '-1.5'. r = 2.666666667 Simplifying r = 2.666666667
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