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Simplifying -1(-5u + x) + 6(-5x + 5u) = 0 (-5u * -1 + x * -1) + 6(-5x + 5u) = 0 (5u + -1x) + 6(-5x + 5u) = 0 Reorder the terms: 5u + -1x + 6(5u + -5x) = 0 5u + -1x + (5u * 6 + -5x * 6) = 0 5u + -1x + (30u + -30x) = 0 Reorder the terms: 5u + 30u + -1x + -30x = 0 Combine like terms: 5u + 30u = 35u 35u + -1x + -30x = 0 Combine like terms: -1x + -30x = -31x 35u + -31x = 0 Solving 35u + -31x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '31x' to each side of the equation. 35u + -31x + 31x = 0 + 31x Combine like terms: -31x + 31x = 0 35u + 0 = 0 + 31x 35u = 0 + 31x Remove the zero: 35u = 31x Divide each side by '35'. u = 0.8857142857x Simplifying u = 0.8857142857x
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