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Simplifying 6r + -4r + 6 = 5r + -5 Reorder the terms: 6 + 6r + -4r = 5r + -5 Combine like terms: 6r + -4r = 2r 6 + 2r = 5r + -5 Reorder the terms: 6 + 2r = -5 + 5r Solving 6 + 2r = -5 + 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. 6 + 2r + -5r = -5 + 5r + -5r Combine like terms: 2r + -5r = -3r 6 + -3r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + -3r = -5 + 0 6 + -3r = -5 Add '-6' to each side of the equation. 6 + -6 + -3r = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -3r = -5 + -6 -3r = -5 + -6 Combine like terms: -5 + -6 = -11 -3r = -11 Divide each side by '-3'. r = 3.666666667 Simplifying r = 3.666666667
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