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Simplifying -4 + 5(3 + -1u) = -2(u + 8) -4 + (3 * 5 + -1u * 5) = -2(u + 8) -4 + (15 + -5u) = -2(u + 8) Combine like terms: -4 + 15 = 11 11 + -5u = -2(u + 8) Reorder the terms: 11 + -5u = -2(8 + u) 11 + -5u = (8 * -2 + u * -2) 11 + -5u = (-16 + -2u) Solving 11 + -5u = -16 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 11 + -5u + 2u = -16 + -2u + 2u Combine like terms: -5u + 2u = -3u 11 + -3u = -16 + -2u + 2u Combine like terms: -2u + 2u = 0 11 + -3u = -16 + 0 11 + -3u = -16 Add '-11' to each side of the equation. 11 + -11 + -3u = -16 + -11 Combine like terms: 11 + -11 = 0 0 + -3u = -16 + -11 -3u = -16 + -11 Combine like terms: -16 + -11 = -27 -3u = -27 Divide each side by '-3'. u = 9 Simplifying u = 9
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