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Simplifying -3(u + 4) = 6u + 42 Reorder the terms: -3(4 + u) = 6u + 42 (4 * -3 + u * -3) = 6u + 42 (-12 + -3u) = 6u + 42 Reorder the terms: -12 + -3u = 42 + 6u Solving -12 + -3u = 42 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -12 + -3u + -6u = 42 + 6u + -6u Combine like terms: -3u + -6u = -9u -12 + -9u = 42 + 6u + -6u Combine like terms: 6u + -6u = 0 -12 + -9u = 42 + 0 -12 + -9u = 42 Add '12' to each side of the equation. -12 + 12 + -9u = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -9u = 42 + 12 -9u = 42 + 12 Combine like terms: 42 + 12 = 54 -9u = 54 Divide each side by '-9'. u = -6 Simplifying u = -6
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