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Simplifying -8u + -42 = -5(u + 6) Reorder the terms: -42 + -8u = -5(u + 6) Reorder the terms: -42 + -8u = -5(6 + u) -42 + -8u = (6 * -5 + u * -5) -42 + -8u = (-30 + -5u) Solving -42 + -8u = -30 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -42 + -8u + 5u = -30 + -5u + 5u Combine like terms: -8u + 5u = -3u -42 + -3u = -30 + -5u + 5u Combine like terms: -5u + 5u = 0 -42 + -3u = -30 + 0 -42 + -3u = -30 Add '42' to each side of the equation. -42 + 42 + -3u = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -3u = -30 + 42 -3u = -30 + 42 Combine like terms: -30 + 42 = 12 -3u = 12 Divide each side by '-3'. u = -4 Simplifying u = -4
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