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Simplifying 0.5r + 1.5 + -2 = 0.25r + 6 Reorder the terms: 1.5 + -2 + 0.5r = 0.25r + 6 Combine like terms: 1.5 + -2 = -0.5 -0.5 + 0.5r = 0.25r + 6 Reorder the terms: -0.5 + 0.5r = 6 + 0.25r Solving -0.5 + 0.5r = 6 + 0.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.25r' to each side of the equation. -0.5 + 0.5r + -0.25r = 6 + 0.25r + -0.25r Combine like terms: 0.5r + -0.25r = 0.25r -0.5 + 0.25r = 6 + 0.25r + -0.25r Combine like terms: 0.25r + -0.25r = 0.00 -0.5 + 0.25r = 6 + 0.00 -0.5 + 0.25r = 6 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.25r = 6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.25r = 6 + 0.5 0.25r = 6 + 0.5 Combine like terms: 6 + 0.5 = 6.5 0.25r = 6.5 Divide each side by '0.25'. r = 26 Simplifying r = 26
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