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Simplifying -42 = -3(u + 4) Reorder the terms: -42 = -3(4 + u) -42 = (4 * -3 + u * -3) -42 = (-12 + -3u) Solving -42 = -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. -42 + 3u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 -42 + 3u = -12 + 0 -42 + 3u = -12 Add '42' to each side of the equation. -42 + 42 + 3u = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 3u = -12 + 42 3u = -12 + 42 Combine like terms: -12 + 42 = 30 3u = 30 Divide each side by '3'. u = 10 Simplifying u = 10
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