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Simplifying -7(2u + -1) + 9u = 3(u + 1) Reorder the terms: -7(-1 + 2u) + 9u = 3(u + 1) (-1 * -7 + 2u * -7) + 9u = 3(u + 1) (7 + -14u) + 9u = 3(u + 1) Combine like terms: -14u + 9u = -5u 7 + -5u = 3(u + 1) Reorder the terms: 7 + -5u = 3(1 + u) 7 + -5u = (1 * 3 + u * 3) 7 + -5u = (3 + 3u) Solving 7 + -5u = 3 + 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. 7 + -5u + -3u = 3 + 3u + -3u Combine like terms: -5u + -3u = -8u 7 + -8u = 3 + 3u + -3u Combine like terms: 3u + -3u = 0 7 + -8u = 3 + 0 7 + -8u = 3 Add '-7' to each side of the equation. 7 + -7 + -8u = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -8u = 3 + -7 -8u = 3 + -7 Combine like terms: 3 + -7 = -4 -8u = -4 Divide each side by '-8'. u = 0.5 Simplifying u = 0.5
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