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Simplifying -8u + -38 = -5(u + 7) Reorder the terms: -38 + -8u = -5(u + 7) Reorder the terms: -38 + -8u = -5(7 + u) -38 + -8u = (7 * -5 + u * -5) -38 + -8u = (-35 + -5u) Solving -38 + -8u = -35 + -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. -38 + -8u + 5u = -35 + -5u + 5u Combine like terms: -8u + 5u = -3u -38 + -3u = -35 + -5u + 5u Combine like terms: -5u + 5u = 0 -38 + -3u = -35 + 0 -38 + -3u = -35 Add '38' to each side of the equation. -38 + 38 + -3u = -35 + 38 Combine like terms: -38 + 38 = 0 0 + -3u = -35 + 38 -3u = -35 + 38 Combine like terms: -35 + 38 = 3 -3u = 3 Divide each side by '-3'. u = -1 Simplifying u = -1
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