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Simplifying -3(-4u + 6) + -3u = 3(u + -2) + -3 Reorder the terms: -3(6 + -4u) + -3u = 3(u + -2) + -3 (6 * -3 + -4u * -3) + -3u = 3(u + -2) + -3 (-18 + 12u) + -3u = 3(u + -2) + -3 Combine like terms: 12u + -3u = 9u -18 + 9u = 3(u + -2) + -3 Reorder the terms: -18 + 9u = 3(-2 + u) + -3 -18 + 9u = (-2 * 3 + u * 3) + -3 -18 + 9u = (-6 + 3u) + -3 Reorder the terms: -18 + 9u = -6 + -3 + 3u Combine like terms: -6 + -3 = -9 -18 + 9u = -9 + 3u Solving -18 + 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. -18 + 9u + -3u = -9 + 3u + -3u Combine like terms: 9u + -3u = 6u -18 + 6u = -9 + 3u + -3u Combine like terms: 3u + -3u = 0 -18 + 6u = -9 + 0 -18 + 6u = -9 Add '18' to each side of the equation. -18 + 18 + 6u = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 6u = -9 + 18 6u = -9 + 18 Combine like terms: -9 + 18 = 9 6u = 9 Divide each side by '6'. u = 1.5 Simplifying u = 1.5
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