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Simplifying -7(u + 5) = -4u + -38 Reorder the terms: -7(5 + u) = -4u + -38 (5 * -7 + u * -7) = -4u + -38 (-35 + -7u) = -4u + -38 Reorder the terms: -35 + -7u = -38 + -4u Solving -35 + -7u = -38 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -35 + -7u + 4u = -38 + -4u + 4u Combine like terms: -7u + 4u = -3u -35 + -3u = -38 + -4u + 4u Combine like terms: -4u + 4u = 0 -35 + -3u = -38 + 0 -35 + -3u = -38 Add '35' to each side of the equation. -35 + 35 + -3u = -38 + 35 Combine like terms: -35 + 35 = 0 0 + -3u = -38 + 35 -3u = -38 + 35 Combine like terms: -38 + 35 = -3 -3u = -3 Divide each side by '-3'. u = 1 Simplifying u = 1
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