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Simplifying 4r + 6 + -2r + -1 = 5r Reorder the terms: 6 + -1 + 4r + -2r = 5r Combine like terms: 6 + -1 = 5 5 + 4r + -2r = 5r Combine like terms: 4r + -2r = 2r 5 + 2r = 5r Solving 5 + 2r = 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. 5 + 2r + -5r = 5r + -5r Combine like terms: 2r + -5r = -3r 5 + -3r = 5r + -5r Combine like terms: 5r + -5r = 0 5 + -3r = 0 Add '-5' to each side of the equation. 5 + -5 + -3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 0 + -5 -3r = 0 + -5 Combine like terms: 0 + -5 = -5 -3r = -5 Divide each side by '-3'. r = 1.666666667 Simplifying r = 1.666666667
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