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Simplifying 2z + 8z + 3u + 6z + 4u = 0 Reorder the terms: 3u + 4u + 2z + 8z + 6z = 0 Combine like terms: 3u + 4u = 7u 7u + 2z + 8z + 6z = 0 Combine like terms: 2z + 8z = 10z 7u + 10z + 6z = 0 Combine like terms: 10z + 6z = 16z 7u + 16z = 0 Solving 7u + 16z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16z' to each side of the equation. 7u + 16z + -16z = 0 + -16z Combine like terms: 16z + -16z = 0 7u + 0 = 0 + -16z 7u = 0 + -16z Remove the zero: 7u = -16z Divide each side by '7'. u = -2.285714286z Simplifying u = -2.285714286z
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