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Simplifying z + 6 + 4z + 9 + 8u = 0 Reorder the terms: 6 + 9 + 8u + z + 4z = 0 Combine like terms: 6 + 9 = 15 15 + 8u + z + 4z = 0 Combine like terms: z + 4z = 5z 15 + 8u + 5z = 0 Solving 15 + 8u + 5z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 8u + -15 + 5z = 0 + -15 Reorder the terms: 15 + -15 + 8u + 5z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8u + 5z = 0 + -15 8u + 5z = 0 + -15 Combine like terms: 0 + -15 = -15 8u + 5z = -15 Add '-5z' to each side of the equation. 8u + 5z + -5z = -15 + -5z Combine like terms: 5z + -5z = 0 8u + 0 = -15 + -5z 8u = -15 + -5z Divide each side by '8'. u = -1.875 + -0.625z Simplifying u = -1.875 + -0.625z
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