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Simplifying [u + -8] = 3[u + 4] Reorder the terms: [-8 + u] = 3[u + 4] Remove brackets around [-8 + u] -8 + u = 3[u + 4] Reorder the terms: -8 + u = 3[4 + u] -8 + u = [4 * 3 + u * 3] -8 + u = [12 + 3u] Solving -8 + u = 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. -8 + u + -3u = 12 + 3u + -3u Combine like terms: u + -3u = -2u -8 + -2u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 -8 + -2u = 12 + 0 -8 + -2u = 12 Add '8' to each side of the equation. -8 + 8 + -2u = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2u = 12 + 8 -2u = 12 + 8 Combine like terms: 12 + 8 = 20 -2u = 20 Divide each side by '-2'. u = -10 Simplifying u = -10
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