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Simplifying 2u + 7.1 = 2.1u + 6.52 Reorder the terms: 7.1 + 2u = 2.1u + 6.52 Reorder the terms: 7.1 + 2u = 6.52 + 2.1u Solving 7.1 + 2u = 6.52 + 2.1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2.1u' to each side of the equation. 7.1 + 2u + -2.1u = 6.52 + 2.1u + -2.1u Combine like terms: 2u + -2.1u = -0.1u 7.1 + -0.1u = 6.52 + 2.1u + -2.1u Combine like terms: 2.1u + -2.1u = 0.0 7.1 + -0.1u = 6.52 + 0.0 7.1 + -0.1u = 6.52 Add '-7.1' to each side of the equation. 7.1 + -7.1 + -0.1u = 6.52 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + -0.1u = 6.52 + -7.1 -0.1u = 6.52 + -7.1 Combine like terms: 6.52 + -7.1 = -0.58 -0.1u = -0.58 Divide each side by '-0.1'. u = 5.8 Simplifying u = 5.8
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