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Simplifying 0.51u + 0.03 = 0.4u + -0.74 Reorder the terms: 0.03 + 0.51u = 0.4u + -0.74 Reorder the terms: 0.03 + 0.51u = -0.74 + 0.4u Solving 0.03 + 0.51u = -0.74 + 0.4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-0.4u' to each side of the equation. 0.03 + 0.51u + -0.4u = -0.74 + 0.4u + -0.4u Combine like terms: 0.51u + -0.4u = 0.11u 0.03 + 0.11u = -0.74 + 0.4u + -0.4u Combine like terms: 0.4u + -0.4u = 0.0 0.03 + 0.11u = -0.74 + 0.0 0.03 + 0.11u = -0.74 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.11u = -0.74 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.11u = -0.74 + -0.03 0.11u = -0.74 + -0.03 Combine like terms: -0.74 + -0.03 = -0.77 0.11u = -0.77 Divide each side by '0.11'. u = -7 Simplifying u = -7
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