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Simplifying 6 + 10r + -3 = 9r + 17 + -6r Reorder the terms: 6 + -3 + 10r = 9r + 17 + -6r Combine like terms: 6 + -3 = 3 3 + 10r = 9r + 17 + -6r Reorder the terms: 3 + 10r = 17 + 9r + -6r Combine like terms: 9r + -6r = 3r 3 + 10r = 17 + 3r Solving 3 + 10r = 17 + 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. 3 + 10r + -3r = 17 + 3r + -3r Combine like terms: 10r + -3r = 7r 3 + 7r = 17 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + 7r = 17 + 0 3 + 7r = 17 Add '-3' to each side of the equation. 3 + -3 + 7r = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7r = 17 + -3 7r = 17 + -3 Combine like terms: 17 + -3 = 14 7r = 14 Divide each side by '7'. r = 2 Simplifying r = 2
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