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Simplifying -34 = 4(u + -7) + -7u Reorder the terms: -34 = 4(-7 + u) + -7u -34 = (-7 * 4 + u * 4) + -7u -34 = (-28 + 4u) + -7u Combine like terms: 4u + -7u = -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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