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Simplifying 1 + 0.5r = 1.4r + 0.1 Reorder the terms: 1 + 0.5r = 0.1 + 1.4r Solving 1 + 0.5r = 0.1 + 1.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.4r' to each side of the equation. 1 + 0.5r + -1.4r = 0.1 + 1.4r + -1.4r Combine like terms: 0.5r + -1.4r = -0.9r 1 + -0.9r = 0.1 + 1.4r + -1.4r Combine like terms: 1.4r + -1.4r = 0.0 1 + -0.9r = 0.1 + 0.0 1 + -0.9r = 0.1 Add '-1' to each side of the equation. 1 + -1 + -0.9r = 0.1 + -1 Combine like terms: 1 + -1 = 0 0 + -0.9r = 0.1 + -1 -0.9r = 0.1 + -1 Combine like terms: 0.1 + -1 = -0.9 -0.9r = -0.9 Divide each side by '-0.9'. r = 1 Simplifying r = 1
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