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Simplifying -2(-6u + 3) + -3u = 3(u + -1) + -6 Reorder the terms: -2(3 + -6u) + -3u = 3(u + -1) + -6 (3 * -2 + -6u * -2) + -3u = 3(u + -1) + -6 (-6 + 12u) + -3u = 3(u + -1) + -6 Combine like terms: 12u + -3u = 9u -6 + 9u = 3(u + -1) + -6 Reorder the terms: -6 + 9u = 3(-1 + u) + -6 -6 + 9u = (-1 * 3 + u * 3) + -6 -6 + 9u = (-3 + 3u) + -6 Reorder the terms: -6 + 9u = -3 + -6 + 3u Combine like terms: -3 + -6 = -9 -6 + 9u = -9 + 3u Solving -6 + 9u = -9 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -6 + 9u + -3u = -9 + 3u + -3u Combine like terms: 9u + -3u = 6u -6 + 6u = -9 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 + 6u = -9 + 0 -6 + 6u = -9 Add '6' to each side of the equation. -6 + 6 + 6u = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 6u = -9 + 6 6u = -9 + 6 Combine like terms: -9 + 6 = -3 6u = -3 Divide each side by '6'. u = -0.5 Simplifying u = -0.5
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