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Simplifying 4u + 34 = 7(u + 7) Reorder the terms: 34 + 4u = 7(u + 7) Reorder the terms: 34 + 4u = 7(7 + u) 34 + 4u = (7 * 7 + u * 7) 34 + 4u = (49 + 7u) Solving 34 + 4u = 49 + 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. 34 + 4u + -7u = 49 + 7u + -7u Combine like terms: 4u + -7u = -3u 34 + -3u = 49 + 7u + -7u Combine like terms: 7u + -7u = 0 34 + -3u = 49 + 0 34 + -3u = 49 Add '-34' to each side of the equation. 34 + -34 + -3u = 49 + -34 Combine like terms: 34 + -34 = 0 0 + -3u = 49 + -34 -3u = 49 + -34 Combine like terms: 49 + -34 = 15 -3u = 15 Divide each side by '-3'. u = -5 Simplifying u = -5
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