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Simplifying 2u + -41 = -3(u + 2) Reorder the terms: -41 + 2u = -3(u + 2) Reorder the terms: -41 + 2u = -3(2 + u) -41 + 2u = (2 * -3 + u * -3) -41 + 2u = (-6 + -3u) Solving -41 + 2u = -6 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -41 + 2u + 3u = -6 + -3u + 3u Combine like terms: 2u + 3u = 5u -41 + 5u = -6 + -3u + 3u Combine like terms: -3u + 3u = 0 -41 + 5u = -6 + 0 -41 + 5u = -6 Add '41' to each side of the equation. -41 + 41 + 5u = -6 + 41 Combine like terms: -41 + 41 = 0 0 + 5u = -6 + 41 5u = -6 + 41 Combine like terms: -6 + 41 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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