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Simplifying -5(u + -8) = -3u + 42 Reorder the terms: -5(-8 + u) = -3u + 42 (-8 * -5 + u * -5) = -3u + 42 (40 + -5u) = -3u + 42 Reorder the terms: 40 + -5u = 42 + -3u Solving 40 + -5u = 42 + -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. 40 + -5u + 3u = 42 + -3u + 3u Combine like terms: -5u + 3u = -2u 40 + -2u = 42 + -3u + 3u Combine like terms: -3u + 3u = 0 40 + -2u = 42 + 0 40 + -2u = 42 Add '-40' to each side of the equation. 40 + -40 + -2u = 42 + -40 Combine like terms: 40 + -40 = 0 0 + -2u = 42 + -40 -2u = 42 + -40 Combine like terms: 42 + -40 = 2 -2u = 2 Divide each side by '-2'. u = -1 Simplifying u = -1
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