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Simplifying -15 = 3(u + 4) + -6u Reorder the terms: -15 = 3(4 + u) + -6u -15 = (4 * 3 + u * 3) + -6u -15 = (12 + 3u) + -6u Combine like terms: 3u + -6u = -3u -15 = 12 + -3u Solving -15 = 12 + -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. -15 + 3u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 -15 + 3u = 12 + 0 -15 + 3u = 12 Add '15' to each side of the equation. -15 + 15 + 3u = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3u = 12 + 15 3u = 12 + 15 Combine like terms: 12 + 15 = 27 3u = 27 Divide each side by '3'. u = 9 Simplifying u = 9
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