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Simplifying -3r + 6u + 10r + -9u = 0 Reorder the terms: -3r + 10r + 6u + -9u = 0 Combine like terms: -3r + 10r = 7r 7r + 6u + -9u = 0 Combine like terms: 6u + -9u = -3u 7r + -3u = 0 Solving 7r + -3u = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3u' to each side of the equation. 7r + -3u + 3u = 0 + 3u Combine like terms: -3u + 3u = 0 7r + 0 = 0 + 3u 7r = 0 + 3u Remove the zero: 7r = 3u Divide each side by '7'. r = 0.4285714286u Simplifying r = 0.4285714286u
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