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Simplifying 6 + 11r + -3 = 8r + 27 + -3r Reorder the terms: 6 + -3 + 11r = 8r + 27 + -3r Combine like terms: 6 + -3 = 3 3 + 11r = 8r + 27 + -3r Reorder the terms: 3 + 11r = 27 + 8r + -3r Combine like terms: 8r + -3r = 5r 3 + 11r = 27 + 5r Solving 3 + 11r = 27 + 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. 3 + 11r + -5r = 27 + 5r + -5r Combine like terms: 11r + -5r = 6r 3 + 6r = 27 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + 6r = 27 + 0 3 + 6r = 27 Add '-3' to each side of the equation. 3 + -3 + 6r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6r = 27 + -3 6r = 27 + -3 Combine like terms: 27 + -3 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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