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Simplifying -4(X + U) + 6(4U + -5X) = 0 Reorder the terms: -4(U + X) + 6(4U + -5X) = 0 (U * -4 + X * -4) + 6(4U + -5X) = 0 (-4U + -4X) + 6(4U + -5X) = 0 -4U + -4X + (4U * 6 + -5X * 6) = 0 -4U + -4X + (24U + -30X) = 0 Reorder the terms: -4U + 24U + -4X + -30X = 0 Combine like terms: -4U + 24U = 20U 20U + -4X + -30X = 0 Combine like terms: -4X + -30X = -34X 20U + -34X = 0 Solving 20U + -34X = 0 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '34X' to each side of the equation. 20U + -34X + 34X = 0 + 34X Combine like terms: -34X + 34X = 0 20U + 0 = 0 + 34X 20U = 0 + 34X Remove the zero: 20U = 34X Divide each side by '20'. U = 1.7X Simplifying U = 1.7X
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