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Simplifying 0.25r + -0.125 + 0.54 = 0.5 + r Reorder the terms: -0.125 + 0.54 + 0.25r = 0.5 + r Combine like terms: -0.125 + 0.54 = 0.415 0.415 + 0.25r = 0.5 + r Solving 0.415 + 0.25r = 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. 0.415 + 0.25r + -1r = 0.5 + r + -1r Combine like terms: 0.25r + -1r = -0.75r 0.415 + -0.75r = 0.5 + r + -1r Combine like terms: r + -1r = 0 0.415 + -0.75r = 0.5 + 0 0.415 + -0.75r = 0.5 Add '-0.415' to each side of the equation. 0.415 + -0.415 + -0.75r = 0.5 + -0.415 Combine like terms: 0.415 + -0.415 = 0.000 0.000 + -0.75r = 0.5 + -0.415 -0.75r = 0.5 + -0.415 Combine like terms: 0.5 + -0.415 = 0.085 -0.75r = 0.085 Divide each side by '-0.75'. r = -0.1133333333 Simplifying r = -0.1133333333
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