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Simplifying 0.5 + 3r = 5r + -19 Reorder the terms: 0.5 + 3r = -19 + 5r Solving 0.5 + 3r = -19 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 0.5 + 3r + -5r = -19 + 5r + -5r Combine like terms: 3r + -5r = -2r 0.5 + -2r = -19 + 5r + -5r Combine like terms: 5r + -5r = 0 0.5 + -2r = -19 + 0 0.5 + -2r = -19 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2r = -19 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2r = -19 + -0.5 -2r = -19 + -0.5 Combine like terms: -19 + -0.5 = -19.5 -2r = -19.5 Divide each side by '-2'. r = 9.75 Simplifying r = 9.75
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