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Simplifying -3u + 17 = -5(u + -7) Reorder the terms: 17 + -3u = -5(u + -7) Reorder the terms: 17 + -3u = -5(-7 + u) 17 + -3u = (-7 * -5 + u * -5) 17 + -3u = (35 + -5u) Solving 17 + -3u = 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. 17 + -3u + 5u = 35 + -5u + 5u Combine like terms: -3u + 5u = 2u 17 + 2u = 35 + -5u + 5u Combine like terms: -5u + 5u = 0 17 + 2u = 35 + 0 17 + 2u = 35 Add '-17' to each side of the equation. 17 + -17 + 2u = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 2u = 35 + -17 2u = 35 + -17 Combine like terms: 35 + -17 = 18 2u = 18 Divide each side by '2'. u = 9 Simplifying u = 9
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