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Simplifying -3(5u + -1x) + -5(-1x + u) = 0 (5u * -3 + -1x * -3) + -5(-1x + u) = 0 (-15u + 3x) + -5(-1x + u) = 0 Reorder the terms: -15u + 3x + -5(u + -1x) = 0 -15u + 3x + (u * -5 + -1x * -5) = 0 -15u + 3x + (-5u + 5x) = 0 Reorder the terms: -15u + -5u + 3x + 5x = 0 Combine like terms: -15u + -5u = -20u -20u + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -20u + 8x = 0 Solving -20u + 8x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8x' to each side of the equation. -20u + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 -20u + 0 = 0 + -8x -20u = 0 + -8x Remove the zero: -20u = -8x Divide each side by '-20'. u = 0.4x Simplifying u = 0.4x
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