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Simplifying 2(5 + -3u) + 9v = 28 (5 * 2 + -3u * 2) + 9v = 28 (10 + -6u) + 9v = 28 Solving 10 + -6u + 9v = 28 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -6u + -10 + 9v = 28 + -10 Reorder the terms: 10 + -10 + -6u + 9v = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -6u + 9v = 28 + -10 -6u + 9v = 28 + -10 Combine like terms: 28 + -10 = 18 -6u + 9v = 18 Add '-9v' to each side of the equation. -6u + 9v + -9v = 18 + -9v Combine like terms: 9v + -9v = 0 -6u + 0 = 18 + -9v -6u = 18 + -9v Divide each side by '-6'. u = -3 + 1.5v Simplifying u = -3 + 1.5v
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