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Simplifying -0.5u + 0.1 = -4.5u + 4.1 Reorder the terms: 0.1 + -0.5u = -4.5u + 4.1 Reorder the terms: 0.1 + -0.5u = 4.1 + -4.5u Solving 0.1 + -0.5u = 4.1 + -4.5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4.5u' to each side of the equation. 0.1 + -0.5u + 4.5u = 4.1 + -4.5u + 4.5u Combine like terms: -0.5u + 4.5u = 4u 0.1 + 4u = 4.1 + -4.5u + 4.5u Combine like terms: -4.5u + 4.5u = 0.0 0.1 + 4u = 4.1 + 0.0 0.1 + 4u = 4.1 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 4u = 4.1 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 4u = 4.1 + -0.1 4u = 4.1 + -0.1 Combine like terms: 4.1 + -0.1 = 4 4u = 4 Divide each side by '4'. u = 1 Simplifying u = 1
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