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Simplifying -0.8u + 3.4 = 0.1u + 0.7 Reorder the terms: 3.4 + -0.8u = 0.1u + 0.7 Reorder the terms: 3.4 + -0.8u = 0.7 + 0.1u Solving 3.4 + -0.8u = 0.7 + 0.1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-0.1u' to each side of the equation. 3.4 + -0.8u + -0.1u = 0.7 + 0.1u + -0.1u Combine like terms: -0.8u + -0.1u = -0.9u 3.4 + -0.9u = 0.7 + 0.1u + -0.1u Combine like terms: 0.1u + -0.1u = 0.0 3.4 + -0.9u = 0.7 + 0.0 3.4 + -0.9u = 0.7 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -0.9u = 0.7 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -0.9u = 0.7 + -3.4 -0.9u = 0.7 + -3.4 Combine like terms: 0.7 + -3.4 = -2.7 -0.9u = -2.7 Divide each side by '-0.9'. u = 3 Simplifying u = 3
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