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Simplifying 3u + 34 = 7(u + 2) Reorder the terms: 34 + 3u = 7(u + 2) Reorder the terms: 34 + 3u = 7(2 + u) 34 + 3u = (2 * 7 + u * 7) 34 + 3u = (14 + 7u) Solving 34 + 3u = 14 + 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 + 3u + -7u = 14 + 7u + -7u Combine like terms: 3u + -7u = -4u 34 + -4u = 14 + 7u + -7u Combine like terms: 7u + -7u = 0 34 + -4u = 14 + 0 34 + -4u = 14 Add '-34' to each side of the equation. 34 + -34 + -4u = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -4u = 14 + -34 -4u = 14 + -34 Combine like terms: 14 + -34 = -20 -4u = -20 Divide each side by '-4'. u = 5 Simplifying u = 5
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