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Simplifying 4u + -8 + 2(2u + 4) = -6(u + 1) Reorder the terms: 4u + -8 + 2(4 + 2u) = -6(u + 1) 4u + -8 + (4 * 2 + 2u * 2) = -6(u + 1) 4u + -8 + (8 + 4u) = -6(u + 1) Reorder the terms: -8 + 8 + 4u + 4u = -6(u + 1) Combine like terms: -8 + 8 = 0 0 + 4u + 4u = -6(u + 1) 4u + 4u = -6(u + 1) Combine like terms: 4u + 4u = 8u 8u = -6(u + 1) Reorder the terms: 8u = -6(1 + u) 8u = (1 * -6 + u * -6) 8u = (-6 + -6u) Solving 8u = -6 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 8u + 6u = -6 + -6u + 6u Combine like terms: 8u + 6u = 14u 14u = -6 + -6u + 6u Combine like terms: -6u + 6u = 0 14u = -6 + 0 14u = -6 Divide each side by '14'. u = -0.4285714286 Simplifying u = -0.4285714286
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