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Simplifying -2u + 41 = -5(u + -7) Reorder the terms: 41 + -2u = -5(u + -7) Reorder the terms: 41 + -2u = -5(-7 + u) 41 + -2u = (-7 * -5 + u * -5) 41 + -2u = (35 + -5u) Solving 41 + -2u = 35 + -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. 41 + -2u + 5u = 35 + -5u + 5u Combine like terms: -2u + 5u = 3u 41 + 3u = 35 + -5u + 5u Combine like terms: -5u + 5u = 0 41 + 3u = 35 + 0 41 + 3u = 35 Add '-41' to each side of the equation. 41 + -41 + 3u = 35 + -41 Combine like terms: 41 + -41 = 0 0 + 3u = 35 + -41 3u = 35 + -41 Combine like terms: 35 + -41 = -6 3u = -6 Divide each side by '3'. u = -2 Simplifying u = -2
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