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Simplifying 4u + -1u + 7 = -2u + -6 Reorder the terms: 7 + 4u + -1u = -2u + -6 Combine like terms: 4u + -1u = 3u 7 + 3u = -2u + -6 Reorder the terms: 7 + 3u = -6 + -2u Solving 7 + 3u = -6 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 7 + 3u + 2u = -6 + -2u + 2u Combine like terms: 3u + 2u = 5u 7 + 5u = -6 + -2u + 2u Combine like terms: -2u + 2u = 0 7 + 5u = -6 + 0 7 + 5u = -6 Add '-7' to each side of the equation. 7 + -7 + 5u = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 5u = -6 + -7 5u = -6 + -7 Combine like terms: -6 + -7 = -13 5u = -13 Divide each side by '5'. u = -2.6 Simplifying u = -2.6
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