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Simplifying -3(-5u + 4) + -6u = 3(u + -2) + -4 Reorder the terms: -3(4 + -5u) + -6u = 3(u + -2) + -4 (4 * -3 + -5u * -3) + -6u = 3(u + -2) + -4 (-12 + 15u) + -6u = 3(u + -2) + -4 Combine like terms: 15u + -6u = 9u -12 + 9u = 3(u + -2) + -4 Reorder the terms: -12 + 9u = 3(-2 + u) + -4 -12 + 9u = (-2 * 3 + u * 3) + -4 -12 + 9u = (-6 + 3u) + -4 Reorder the terms: -12 + 9u = -6 + -4 + 3u Combine like terms: -6 + -4 = -10 -12 + 9u = -10 + 3u Solving -12 + 9u = -10 + 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. -12 + 9u + -3u = -10 + 3u + -3u Combine like terms: 9u + -3u = 6u -12 + 6u = -10 + 3u + -3u Combine like terms: 3u + -3u = 0 -12 + 6u = -10 + 0 -12 + 6u = -10 Add '12' to each side of the equation. -12 + 12 + 6u = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = -10 + 12 6u = -10 + 12 Combine like terms: -10 + 12 = 2 6u = 2 Divide each side by '6'. u = 0.3333333333 Simplifying u = 0.3333333333
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