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Simplifying 7 + 3(3u + -2) = -2(3u + -5) + u Reorder the terms: 7 + 3(-2 + 3u) = -2(3u + -5) + u 7 + (-2 * 3 + 3u * 3) = -2(3u + -5) + u 7 + (-6 + 9u) = -2(3u + -5) + u Combine like terms: 7 + -6 = 1 1 + 9u = -2(3u + -5) + u Reorder the terms: 1 + 9u = -2(-5 + 3u) + u 1 + 9u = (-5 * -2 + 3u * -2) + u 1 + 9u = (10 + -6u) + u Combine like terms: -6u + u = -5u 1 + 9u = 10 + -5u Solving 1 + 9u = 10 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 1 + 9u + 5u = 10 + -5u + 5u Combine like terms: 9u + 5u = 14u 1 + 14u = 10 + -5u + 5u Combine like terms: -5u + 5u = 0 1 + 14u = 10 + 0 1 + 14u = 10 Add '-1' to each side of the equation. 1 + -1 + 14u = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 14u = 10 + -1 14u = 10 + -1 Combine like terms: 10 + -1 = 9 14u = 9 Divide each side by '14'. u = 0.6428571429 Simplifying u = 0.6428571429
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