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Simplifying -2(u + -4) = 5u + -41 Reorder the terms: -2(-4 + u) = 5u + -41 (-4 * -2 + u * -2) = 5u + -41 (8 + -2u) = 5u + -41 Reorder the terms: 8 + -2u = -41 + 5u Solving 8 + -2u = -41 + 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. 8 + -2u + -5u = -41 + 5u + -5u Combine like terms: -2u + -5u = -7u 8 + -7u = -41 + 5u + -5u Combine like terms: 5u + -5u = 0 8 + -7u = -41 + 0 8 + -7u = -41 Add '-8' to each side of the equation. 8 + -8 + -7u = -41 + -8 Combine like terms: 8 + -8 = 0 0 + -7u = -41 + -8 -7u = -41 + -8 Combine like terms: -41 + -8 = -49 -7u = -49 Divide each side by '-7'. u = 7 Simplifying u = 7
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