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Simplifying -3(u + 4) = 9u + 12 Reorder the terms: -3(4 + u) = 9u + 12 (4 * -3 + u * -3) = 9u + 12 (-12 + -3u) = 9u + 12 Reorder the terms: -12 + -3u = 12 + 9u Solving -12 + -3u = 12 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -12 + -3u + -9u = 12 + 9u + -9u Combine like terms: -3u + -9u = -12u -12 + -12u = 12 + 9u + -9u Combine like terms: 9u + -9u = 0 -12 + -12u = 12 + 0 -12 + -12u = 12 Add '12' to each side of the equation. -12 + 12 + -12u = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12u = 12 + 12 -12u = 12 + 12 Combine like terms: 12 + 12 = 24 -12u = 24 Divide each side by '-12'. u = -2 Simplifying u = -2
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