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Simplifying -2(u + -6) = 5u + -9 Reorder the terms: -2(-6 + u) = 5u + -9 (-6 * -2 + u * -2) = 5u + -9 (12 + -2u) = 5u + -9 Reorder the terms: 12 + -2u = -9 + 5u Solving 12 + -2u = -9 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 12 + -2u + -5u = -9 + 5u + -5u Combine like terms: -2u + -5u = -7u 12 + -7u = -9 + 5u + -5u Combine like terms: 5u + -5u = 0 12 + -7u = -9 + 0 12 + -7u = -9 Add '-12' to each side of the equation. 12 + -12 + -7u = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7u = -9 + -12 -7u = -9 + -12 Combine like terms: -9 + -12 = -21 -7u = -21 Divide each side by '-7'. u = 3 Simplifying u = 3
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