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Simplifying 0.5r + 4 = 0.75r + -5.5 Reorder the terms: 4 + 0.5r = 0.75r + -5.5 Reorder the terms: 4 + 0.5r = -5.5 + 0.75r Solving 4 + 0.5r = -5.5 + 0.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.75r' to each side of the equation. 4 + 0.5r + -0.75r = -5.5 + 0.75r + -0.75r Combine like terms: 0.5r + -0.75r = -0.25r 4 + -0.25r = -5.5 + 0.75r + -0.75r Combine like terms: 0.75r + -0.75r = 0.00 4 + -0.25r = -5.5 + 0.00 4 + -0.25r = -5.5 Add '-4' to each side of the equation. 4 + -4 + -0.25r = -5.5 + -4 Combine like terms: 4 + -4 = 0 0 + -0.25r = -5.5 + -4 -0.25r = -5.5 + -4 Combine like terms: -5.5 + -4 = -9.5 -0.25r = -9.5 Divide each side by '-0.25'. r = 38 Simplifying r = 38
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