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Simplifying 6r + 9 = -2 + -5r + 5r Reorder the terms: 9 + 6r = -2 + -5r + 5r Combine like terms: -5r + 5r = 0 9 + 6r = -2 + 0 9 + 6r = -2 Solving 9 + 6r = -2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6r = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 6r = -2 + -9 6r = -2 + -9 Combine like terms: -2 + -9 = -11 6r = -11 Divide each side by '6'. r = -1.833333333 Simplifying r = -1.833333333
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