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Simplifying 8u + (4z + 10u) + 6z = 0 Reorder the terms: 8u + (10u + 4z) + 6z = 0 Remove parenthesis around (10u + 4z) 8u + 10u + 4z + 6z = 0 Combine like terms: 8u + 10u = 18u 18u + 4z + 6z = 0 Combine like terms: 4z + 6z = 10z 18u + 10z = 0 Solving 18u + 10z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10z' to each side of the equation. 18u + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 18u + 0 = 0 + -10z 18u = 0 + -10z Remove the zero: 18u = -10z Divide each side by '18'. u = -0.5555555556z Simplifying u = -0.5555555556z
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