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Simplifying 7(u + 5) + -3u = 7 Reorder the terms: 7(5 + u) + -3u = 7 (5 * 7 + u * 7) + -3u = 7 (35 + 7u) + -3u = 7 Combine like terms: 7u + -3u = 4u 35 + 4u = 7 Solving 35 + 4u = 7 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 4u = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 4u = 7 + -35 4u = 7 + -35 Combine like terms: 7 + -35 = -28 4u = -28 Divide each side by '4'. u = -7 Simplifying u = -7
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