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Simplifying -38 = -4u + 7(u + -8) Reorder the terms: -38 = -4u + 7(-8 + u) -38 = -4u + (-8 * 7 + u * 7) -38 = -4u + (-56 + 7u) Reorder the terms: -38 = -56 + -4u + 7u Combine like terms: -4u + 7u = 3u -38 = -56 + 3u Solving -38 = -56 + 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. -38 + -3u = -56 + 3u + -3u Combine like terms: 3u + -3u = 0 -38 + -3u = -56 + 0 -38 + -3u = -56 Add '38' to each side of the equation. -38 + 38 + -3u = -56 + 38 Combine like terms: -38 + 38 = 0 0 + -3u = -56 + 38 -3u = -56 + 38 Combine like terms: -56 + 38 = -18 -3u = -18 Divide each side by '-3'. u = 6 Simplifying u = 6
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