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Simplifying -7(2u + -1) + 3u = 5(u + 3) Reorder the terms: -7(-1 + 2u) + 3u = 5(u + 3) (-1 * -7 + 2u * -7) + 3u = 5(u + 3) (7 + -14u) + 3u = 5(u + 3) Combine like terms: -14u + 3u = -11u 7 + -11u = 5(u + 3) Reorder the terms: 7 + -11u = 5(3 + u) 7 + -11u = (3 * 5 + u * 5) 7 + -11u = (15 + 5u) Solving 7 + -11u = 15 + 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. 7 + -11u + -5u = 15 + 5u + -5u Combine like terms: -11u + -5u = -16u 7 + -16u = 15 + 5u + -5u Combine like terms: 5u + -5u = 0 7 + -16u = 15 + 0 7 + -16u = 15 Add '-7' to each side of the equation. 7 + -7 + -16u = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -16u = 15 + -7 -16u = 15 + -7 Combine like terms: 15 + -7 = 8 -16u = 8 Divide each side by '-16'. u = -0.5 Simplifying u = -0.5
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