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Simplifying 8 + 2(2u + -3) + -7(2u + -1) + 3u = 0 Reorder the terms: 8 + 2(-3 + 2u) + -7(2u + -1) + 3u = 0 8 + (-3 * 2 + 2u * 2) + -7(2u + -1) + 3u = 0 8 + (-6 + 4u) + -7(2u + -1) + 3u = 0 Reorder the terms: 8 + -6 + 4u + -7(-1 + 2u) + 3u = 0 8 + -6 + 4u + (-1 * -7 + 2u * -7) + 3u = 0 8 + -6 + 4u + (7 + -14u) + 3u = 0 Reorder the terms: 8 + -6 + 7 + 4u + -14u + 3u = 0 Combine like terms: 8 + -6 = 2 2 + 7 + 4u + -14u + 3u = 0 Combine like terms: 2 + 7 = 9 9 + 4u + -14u + 3u = 0 Combine like terms: 4u + -14u = -10u 9 + -10u + 3u = 0 Combine like terms: -10u + 3u = -7u 9 + -7u = 0 Solving 9 + -7u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7u = 0 + -9 -7u = 0 + -9 Combine like terms: 0 + -9 = -9 -7u = -9 Divide each side by '-7'. u = 1.285714286 Simplifying u = 1.285714286
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