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Simplifying 0.3r + -0.03 + 0.2r = 0.2 + r Reorder the terms: -0.03 + 0.3r + 0.2r = 0.2 + r Combine like terms: 0.3r + 0.2r = 0.5r -0.03 + 0.5r = 0.2 + r Solving -0.03 + 0.5r = 0.2 + 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. -0.03 + 0.5r + -1r = 0.2 + r + -1r Combine like terms: 0.5r + -1r = -0.5r -0.03 + -0.5r = 0.2 + r + -1r Combine like terms: r + -1r = 0 -0.03 + -0.5r = 0.2 + 0 -0.03 + -0.5r = 0.2 Add '0.03' to each side of the equation. -0.03 + 0.03 + -0.5r = 0.2 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + -0.5r = 0.2 + 0.03 -0.5r = 0.2 + 0.03 Combine like terms: 0.2 + 0.03 = 0.23 -0.5r = 0.23 Divide each side by '-0.5'. r = -0.46 Simplifying r = -0.46
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