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Simplifying 3z + 6 + 4z + -9 + 8u = 0 Reorder the terms: 6 + -9 + 8u + 3z + 4z = 0 Combine like terms: 6 + -9 = -3 -3 + 8u + 3z + 4z = 0 Combine like terms: 3z + 4z = 7z -3 + 8u + 7z = 0 Solving -3 + 8u + 7z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8u + 3 + 7z = 0 + 3 Reorder the terms: -3 + 3 + 8u + 7z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8u + 7z = 0 + 3 8u + 7z = 0 + 3 Combine like terms: 0 + 3 = 3 8u + 7z = 3 Add '-7z' to each side of the equation. 8u + 7z + -7z = 3 + -7z Combine like terms: 7z + -7z = 0 8u + 0 = 3 + -7z 8u = 3 + -7z Divide each side by '8'. u = 0.375 + -0.875z Simplifying u = 0.375 + -0.875z
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