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Simplifying -3(3u + -1) + 4u = 3(u + 3) Reorder the terms: -3(-1 + 3u) + 4u = 3(u + 3) (-1 * -3 + 3u * -3) + 4u = 3(u + 3) (3 + -9u) + 4u = 3(u + 3) Combine like terms: -9u + 4u = -5u 3 + -5u = 3(u + 3) Reorder the terms: 3 + -5u = 3(3 + u) 3 + -5u = (3 * 3 + u * 3) 3 + -5u = (9 + 3u) Solving 3 + -5u = 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. 3 + -5u + -3u = 9 + 3u + -3u Combine like terms: -5u + -3u = -8u 3 + -8u = 9 + 3u + -3u Combine like terms: 3u + -3u = 0 3 + -8u = 9 + 0 3 + -8u = 9 Add '-3' to each side of the equation. 3 + -3 + -8u = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -8u = 9 + -3 -8u = 9 + -3 Combine like terms: 9 + -3 = 6 -8u = 6 Divide each side by '-8'. u = -0.75 Simplifying u = -0.75
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