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Simplifying -2(2u + -4) = -4[3u + 2(u + 2)] Reorder the terms: -2(-4 + 2u) = -4[3u + 2(u + 2)] (-4 * -2 + 2u * -2) = -4[3u + 2(u + 2)] (8 + -4u) = -4[3u + 2(u + 2)] Reorder the terms: 8 + -4u = -4[3u + 2(2 + u)] 8 + -4u = -4[3u + (2 * 2 + u * 2)] 8 + -4u = -4[3u + (4 + 2u)] Reorder the terms: 8 + -4u = -4[4 + 3u + 2u] Combine like terms: 3u + 2u = 5u 8 + -4u = -4[4 + 5u] 8 + -4u = [4 * -4 + 5u * -4] 8 + -4u = [-16 + -20u] Solving 8 + -4u = -16 + -20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '20u' to each side of the equation. 8 + -4u + 20u = -16 + -20u + 20u Combine like terms: -4u + 20u = 16u 8 + 16u = -16 + -20u + 20u Combine like terms: -20u + 20u = 0 8 + 16u = -16 + 0 8 + 16u = -16 Add '-8' to each side of the equation. 8 + -8 + 16u = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 16u = -16 + -8 16u = -16 + -8 Combine like terms: -16 + -8 = -24 16u = -24 Divide each side by '16'. u = -1.5 Simplifying u = -1.5
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