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Simplifying 6u + 9 = -2u + -10 + -5 Reorder the terms: 9 + 6u = -2u + -10 + -5 Reorder the terms: 9 + 6u = -10 + -5 + -2u Combine like terms: -10 + -5 = -15 9 + 6u = -15 + -2u Solving 9 + 6u = -15 + -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. 9 + 6u + 2u = -15 + -2u + 2u Combine like terms: 6u + 2u = 8u 9 + 8u = -15 + -2u + 2u Combine like terms: -2u + 2u = 0 9 + 8u = -15 + 0 9 + 8u = -15 Add '-9' to each side of the equation. 9 + -9 + 8u = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 8u = -15 + -9 8u = -15 + -9 Combine like terms: -15 + -9 = -24 8u = -24 Divide each side by '8'. u = -3 Simplifying u = -3
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