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Simplifying -6 = -7u + 4(u + 6) Reorder the terms: -6 = -7u + 4(6 + u) -6 = -7u + (6 * 4 + u * 4) -6 = -7u + (24 + 4u) Reorder the terms: -6 = 24 + -7u + 4u Combine like terms: -7u + 4u = -3u -6 = 24 + -3u Solving -6 = 24 + -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 + 3u = 24 + -3u + 3u Combine like terms: -3u + 3u = 0 -6 + 3u = 24 + 0 -6 + 3u = 24 Add '6' to each side of the equation. -6 + 6 + 3u = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 3u = 24 + 6 3u = 24 + 6 Combine like terms: 24 + 6 = 30 3u = 30 Divide each side by '3'. u = 10 Simplifying u = 10
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