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Simplifying 4(u + 4) + -7u = -14 Reorder the terms: 4(4 + u) + -7u = -14 (4 * 4 + u * 4) + -7u = -14 (16 + 4u) + -7u = -14 Combine like terms: 4u + -7u = -3u 16 + -3u = -14 Solving 16 + -3u = -14 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3u = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -3u = -14 + -16 -3u = -14 + -16 Combine like terms: -14 + -16 = -30 -3u = -30 Divide each side by '-3'. u = 10 Simplifying u = 10
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