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Simplifying -2(8u + -6) + 9u = 3(u + 9) Reorder the terms: -2(-6 + 8u) + 9u = 3(u + 9) (-6 * -2 + 8u * -2) + 9u = 3(u + 9) (12 + -16u) + 9u = 3(u + 9) Combine like terms: -16u + 9u = -7u 12 + -7u = 3(u + 9) Reorder the terms: 12 + -7u = 3(9 + u) 12 + -7u = (9 * 3 + u * 3) 12 + -7u = (27 + 3u) Solving 12 + -7u = 27 + 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. 12 + -7u + -3u = 27 + 3u + -3u Combine like terms: -7u + -3u = -10u 12 + -10u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + -10u = 27 + 0 12 + -10u = 27 Add '-12' to each side of the equation. 12 + -12 + -10u = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -10u = 27 + -12 -10u = 27 + -12 Combine like terms: 27 + -12 = 15 -10u = 15 Divide each side by '-10'. u = -1.5 Simplifying u = -1.5
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