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Simplifying 0.25r + -0.0625 + 0.5r = 0.5 + r Reorder the terms: -0.0625 + 0.25r + 0.5r = 0.5 + r Combine like terms: 0.25r + 0.5r = 0.75r -0.0625 + 0.75r = 0.5 + r Solving -0.0625 + 0.75r = 0.5 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -0.0625 + 0.75r + -1r = 0.5 + r + -1r Combine like terms: 0.75r + -1r = -0.25r -0.0625 + -0.25r = 0.5 + r + -1r Combine like terms: r + -1r = 0 -0.0625 + -0.25r = 0.5 + 0 -0.0625 + -0.25r = 0.5 Add '0.0625' to each side of the equation. -0.0625 + 0.0625 + -0.25r = 0.5 + 0.0625 Combine like terms: -0.0625 + 0.0625 = 0.0000 0.0000 + -0.25r = 0.5 + 0.0625 -0.25r = 0.5 + 0.0625 Combine like terms: 0.5 + 0.0625 = 0.5625 -0.25r = 0.5625 Divide each side by '-0.25'. r = -2.25 Simplifying r = -2.25
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