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Simplifying -3u + 1 = -7(u + 5) Reorder the terms: 1 + -3u = -7(u + 5) Reorder the terms: 1 + -3u = -7(5 + u) 1 + -3u = (5 * -7 + u * -7) 1 + -3u = (-35 + -7u) Solving 1 + -3u = -35 + -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. 1 + -3u + 7u = -35 + -7u + 7u Combine like terms: -3u + 7u = 4u 1 + 4u = -35 + -7u + 7u Combine like terms: -7u + 7u = 0 1 + 4u = -35 + 0 1 + 4u = -35 Add '-1' to each side of the equation. 1 + -1 + 4u = -35 + -1 Combine like terms: 1 + -1 = 0 0 + 4u = -35 + -1 4u = -35 + -1 Combine like terms: -35 + -1 = -36 4u = -36 Divide each side by '4'. u = -9 Simplifying u = -9
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