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Simplifying 5r + 11 = 2r + -9 Reorder the terms: 11 + 5r = 2r + -9 Reorder the terms: 11 + 5r = -9 + 2r Solving 11 + 5r = -9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 11 + 5r + -2r = -9 + 2r + -2r Combine like terms: 5r + -2r = 3r 11 + 3r = -9 + 2r + -2r Combine like terms: 2r + -2r = 0 11 + 3r = -9 + 0 11 + 3r = -9 Add '-11' to each side of the equation. 11 + -11 + 3r = -9 + -11 Combine like terms: 11 + -11 = 0 0 + 3r = -9 + -11 3r = -9 + -11 Combine like terms: -9 + -11 = -20 3r = -20 Divide each side by '3'. r = -6.666666667 Simplifying r = -6.666666667
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