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Simplifying 4.1u + 0.4 = 4.6u + -2.6 Reorder the terms: 0.4 + 4.1u = 4.6u + -2.6 Reorder the terms: 0.4 + 4.1u = -2.6 + 4.6u Solving 0.4 + 4.1u = -2.6 + 4.6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4.6u' to each side of the equation. 0.4 + 4.1u + -4.6u = -2.6 + 4.6u + -4.6u Combine like terms: 4.1u + -4.6u = -0.5u 0.4 + -0.5u = -2.6 + 4.6u + -4.6u Combine like terms: 4.6u + -4.6u = 0.0 0.4 + -0.5u = -2.6 + 0.0 0.4 + -0.5u = -2.6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.5u = -2.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.5u = -2.6 + -0.4 -0.5u = -2.6 + -0.4 Combine like terms: -2.6 + -0.4 = -3 -0.5u = -3 Divide each side by '-0.5'. u = 6 Simplifying u = 6
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