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Simplifying 6r + 11 = 3r + 2 Reorder the terms: 11 + 6r = 3r + 2 Reorder the terms: 11 + 6r = 2 + 3r Solving 11 + 6r = 2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 11 + 6r + -3r = 2 + 3r + -3r Combine like terms: 6r + -3r = 3r 11 + 3r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 11 + 3r = 2 + 0 11 + 3r = 2 Add '-11' to each side of the equation. 11 + -11 + 3r = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 3r = 2 + -11 3r = 2 + -11 Combine like terms: 2 + -11 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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