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Simplifying 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 = 9r 2 + 9r = 11 + -3r + 3r Combine like terms: -3r + 3r = 0 2 + 9r = 11 + 0 2 + 9r = 11 Add '-2' to each side of the equation. 2 + -2 + 9r = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 9r = 11 + -2 9r = 11 + -2 Combine like terms: 11 + -2 = 9 9r = 9 Divide each side by '9'. r = 1 Simplifying r = 1
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