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Simplifying -1(5z + 7u) + 2(8z + -3u) + -8z = 0 Reorder the terms: -1(7u + 5z) + 2(8z + -3u) + -8z = 0 (7u * -1 + 5z * -1) + 2(8z + -3u) + -8z = 0 (-7u + -5z) + 2(8z + -3u) + -8z = 0 Reorder the terms: -7u + -5z + 2(-3u + 8z) + -8z = 0 -7u + -5z + (-3u * 2 + 8z * 2) + -8z = 0 -7u + -5z + (-6u + 16z) + -8z = 0 Reorder the terms: -7u + -6u + -5z + 16z + -8z = 0 Combine like terms: -7u + -6u = -13u -13u + -5z + 16z + -8z = 0 Combine like terms: -5z + 16z = 11z -13u + 11z + -8z = 0 Combine like terms: 11z + -8z = 3z -13u + 3z = 0 Solving -13u + 3z = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3z' to each side of the equation. -13u + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 -13u + 0 = 0 + -3z -13u = 0 + -3z Remove the zero: -13u = -3z Divide each side by '-13'. u = 0.2307692308z Simplifying u = 0.2307692308z
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