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Simplifying -3u + 38 = -7(u + -6) Reorder the terms: 38 + -3u = -7(u + -6) Reorder the terms: 38 + -3u = -7(-6 + u) 38 + -3u = (-6 * -7 + u * -7) 38 + -3u = (42 + -7u) Solving 38 + -3u = 42 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 38 + -3u + 7u = 42 + -7u + 7u Combine like terms: -3u + 7u = 4u 38 + 4u = 42 + -7u + 7u Combine like terms: -7u + 7u = 0 38 + 4u = 42 + 0 38 + 4u = 42 Add '-38' to each side of the equation. 38 + -38 + 4u = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 4u = 42 + -38 4u = 42 + -38 Combine like terms: 42 + -38 = 4 4u = 4 Divide each side by '4'. u = 1 Simplifying u = 1
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