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Simplifying 0.2 + r = 0.2r + -0.06 + 0.3r Reorder the terms: 0.2 + r = -0.06 + 0.2r + 0.3r Combine like terms: 0.2r + 0.3r = 0.5r 0.2 + r = -0.06 + 0.5r Solving 0.2 + r = -0.06 + 0.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5r' to each side of the equation. 0.2 + r + -0.5r = -0.06 + 0.5r + -0.5r Combine like terms: r + -0.5r = 0.5r 0.2 + 0.5r = -0.06 + 0.5r + -0.5r Combine like terms: 0.5r + -0.5r = 0.0 0.2 + 0.5r = -0.06 + 0.0 0.2 + 0.5r = -0.06 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.5r = -0.06 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.5r = -0.06 + -0.2 0.5r = -0.06 + -0.2 Combine like terms: -0.06 + -0.2 = -0.26 0.5r = -0.26 Divide each side by '0.5'. r = -0.52 Simplifying r = -0.52
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