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Simplifying 3u + -7 + 2(2u + 4) = -7(u + 1) Reorder the terms: 3u + -7 + 2(4 + 2u) = -7(u + 1) 3u + -7 + (4 * 2 + 2u * 2) = -7(u + 1) 3u + -7 + (8 + 4u) = -7(u + 1) Reorder the terms: -7 + 8 + 3u + 4u = -7(u + 1) Combine like terms: -7 + 8 = 1 1 + 3u + 4u = -7(u + 1) Combine like terms: 3u + 4u = 7u 1 + 7u = -7(u + 1) Reorder the terms: 1 + 7u = -7(1 + u) 1 + 7u = (1 * -7 + u * -7) 1 + 7u = (-7 + -7u) Solving 1 + 7u = -7 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 1 + 7u + 7u = -7 + -7u + 7u Combine like terms: 7u + 7u = 14u 1 + 14u = -7 + -7u + 7u Combine like terms: -7u + 7u = 0 1 + 14u = -7 + 0 1 + 14u = -7 Add '-1' to each side of the equation. 1 + -1 + 14u = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 14u = -7 + -1 14u = -7 + -1 Combine like terms: -7 + -1 = -8 14u = -8 Divide each side by '14'. u = -0.5714285714 Simplifying u = -0.5714285714
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