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Simplifying 0.2r + -26 = 0.5r + -29 Reorder the terms: -26 + 0.2r = 0.5r + -29 Reorder the terms: -26 + 0.2r = -29 + 0.5r Solving -26 + 0.2r = -29 + 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. -26 + 0.2r + -0.5r = -29 + 0.5r + -0.5r Combine like terms: 0.2r + -0.5r = -0.3r -26 + -0.3r = -29 + 0.5r + -0.5r Combine like terms: 0.5r + -0.5r = 0.0 -26 + -0.3r = -29 + 0.0 -26 + -0.3r = -29 Add '26' to each side of the equation. -26 + 26 + -0.3r = -29 + 26 Combine like terms: -26 + 26 = 0 0 + -0.3r = -29 + 26 -0.3r = -29 + 26 Combine like terms: -29 + 26 = -3 -0.3r = -3 Divide each side by '-0.3'. r = 10 Simplifying r = 10
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