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Simplifying 34 = 7(u + 4) + -4u Reorder the terms: 34 = 7(4 + u) + -4u 34 = (4 * 7 + u * 7) + -4u 34 = (28 + 7u) + -4u Combine like terms: 7u + -4u = 3u 34 = 28 + 3u Solving 34 = 28 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 34 + -3u = 28 + 3u + -3u Combine like terms: 3u + -3u = 0 34 + -3u = 28 + 0 34 + -3u = 28 Add '-34' to each side of the equation. 34 + -34 + -3u = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -3u = 28 + -34 -3u = 28 + -34 Combine like terms: 28 + -34 = -6 -3u = -6 Divide each side by '-3'. u = 2 Simplifying u = 2
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