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Simplifying -0.4u + -6.1 = 3.8u + 2.3 Reorder the terms: -6.1 + -0.4u = 3.8u + 2.3 Reorder the terms: -6.1 + -0.4u = 2.3 + 3.8u Solving -6.1 + -0.4u = 2.3 + 3.8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3.8u' to each side of the equation. -6.1 + -0.4u + -3.8u = 2.3 + 3.8u + -3.8u Combine like terms: -0.4u + -3.8u = -4.2u -6.1 + -4.2u = 2.3 + 3.8u + -3.8u Combine like terms: 3.8u + -3.8u = 0.0 -6.1 + -4.2u = 2.3 + 0.0 -6.1 + -4.2u = 2.3 Add '6.1' to each side of the equation. -6.1 + 6.1 + -4.2u = 2.3 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + -4.2u = 2.3 + 6.1 -4.2u = 2.3 + 6.1 Combine like terms: 2.3 + 6.1 = 8.4 -4.2u = 8.4 Divide each side by '-4.2'. u = -2 Simplifying u = -2
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