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Simplifying 5r + 3u + -2r + 7u = 0 Reorder the terms: 5r + -2r + 3u + 7u = 0 Combine like terms: 5r + -2r = 3r 3r + 3u + 7u = 0 Combine like terms: 3u + 7u = 10u 3r + 10u = 0 Solving 3r + 10u = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10u' to each side of the equation. 3r + 10u + -10u = 0 + -10u Combine like terms: 10u + -10u = 0 3r + 0 = 0 + -10u 3r = 0 + -10u Remove the zero: 3r = -10u Divide each side by '3'. r = -3.333333333u Simplifying r = -3.333333333u
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