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Simplifying -2(2u + x) + 5(4x + -3u) = 0 (2u * -2 + x * -2) + 5(4x + -3u) = 0 (-4u + -2x) + 5(4x + -3u) = 0 Reorder the terms: -4u + -2x + 5(-3u + 4x) = 0 -4u + -2x + (-3u * 5 + 4x * 5) = 0 -4u + -2x + (-15u + 20x) = 0 Reorder the terms: -4u + -15u + -2x + 20x = 0 Combine like terms: -4u + -15u = -19u -19u + -2x + 20x = 0 Combine like terms: -2x + 20x = 18x -19u + 18x = 0 Solving -19u + 18x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18x' to each side of the equation. -19u + 18x + -18x = 0 + -18x Combine like terms: 18x + -18x = 0 -19u + 0 = 0 + -18x -19u = 0 + -18x Remove the zero: -19u = -18x Divide each side by '-19'. u = 0.9473684211x Simplifying u = 0.9473684211x
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