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Simplifying 6(u + 2) = -3(3u + -5) + 9u Reorder the terms: 6(2 + u) = -3(3u + -5) + 9u (2 * 6 + u * 6) = -3(3u + -5) + 9u (12 + 6u) = -3(3u + -5) + 9u Reorder the terms: 12 + 6u = -3(-5 + 3u) + 9u 12 + 6u = (-5 * -3 + 3u * -3) + 9u 12 + 6u = (15 + -9u) + 9u Combine like terms: -9u + 9u = 0 12 + 6u = 15 + 0 12 + 6u = 15 Solving 12 + 6u = 15 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6u = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 6u = 15 + -12 6u = 15 + -12 Combine like terms: 15 + -12 = 3 6u = 3 Divide each side by '6'. u = 0.5 Simplifying u = 0.5
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