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Simplifying -3u + 12 = 3(u + -4) Reorder the terms: 12 + -3u = 3(u + -4) Reorder the terms: 12 + -3u = 3(-4 + u) 12 + -3u = (-4 * 3 + u * 3) 12 + -3u = (-12 + 3u) Solving 12 + -3u = -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. 12 + -3u + -3u = -12 + 3u + -3u Combine like terms: -3u + -3u = -6u 12 + -6u = -12 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + -6u = -12 + 0 12 + -6u = -12 Add '-12' to each side of the equation. 12 + -12 + -6u = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6u = -12 + -12 -6u = -12 + -12 Combine like terms: -12 + -12 = -24 -6u = -24 Divide each side by '-6'. u = 4 Simplifying u = 4
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