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Simplifying 6r + 2 = 3r + 11 Reorder the terms: 2 + 6r = 3r + 11 Reorder the terms: 2 + 6r = 11 + 3r Solving 2 + 6r = 11 + 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. 2 + 6r + -3r = 11 + 3r + -3r Combine like terms: 6r + -3r = 3r 2 + 3r = 11 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 3r = 11 + 0 2 + 3r = 11 Add '-2' to each side of the equation. 2 + -2 + 3r = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 11 + -2 3r = 11 + -2 Combine like terms: 11 + -2 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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