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Simplifying -0.2u + 1 = -0.9u + -5.3 Reorder the terms: 1 + -0.2u = -0.9u + -5.3 Reorder the terms: 1 + -0.2u = -5.3 + -0.9u Solving 1 + -0.2u = -5.3 + -0.9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '0.9u' to each side of the equation. 1 + -0.2u + 0.9u = -5.3 + -0.9u + 0.9u Combine like terms: -0.2u + 0.9u = 0.7u 1 + 0.7u = -5.3 + -0.9u + 0.9u Combine like terms: -0.9u + 0.9u = 0.0 1 + 0.7u = -5.3 + 0.0 1 + 0.7u = -5.3 Add '-1' to each side of the equation. 1 + -1 + 0.7u = -5.3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7u = -5.3 + -1 0.7u = -5.3 + -1 Combine like terms: -5.3 + -1 = -6.3 0.7u = -6.3 Divide each side by '0.7'. u = -9 Simplifying u = -9
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