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Simplifying 4u + -6 + 5(2u + 4) = -2(u + 2) Reorder the terms: 4u + -6 + 5(4 + 2u) = -2(u + 2) 4u + -6 + (4 * 5 + 2u * 5) = -2(u + 2) 4u + -6 + (20 + 10u) = -2(u + 2) Reorder the terms: -6 + 20 + 4u + 10u = -2(u + 2) Combine like terms: -6 + 20 = 14 14 + 4u + 10u = -2(u + 2) Combine like terms: 4u + 10u = 14u 14 + 14u = -2(u + 2) Reorder the terms: 14 + 14u = -2(2 + u) 14 + 14u = (2 * -2 + u * -2) 14 + 14u = (-4 + -2u) Solving 14 + 14u = -4 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 14 + 14u + 2u = -4 + -2u + 2u Combine like terms: 14u + 2u = 16u 14 + 16u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 14 + 16u = -4 + 0 14 + 16u = -4 Add '-14' to each side of the equation. 14 + -14 + 16u = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 16u = -4 + -14 16u = -4 + -14 Combine like terms: -4 + -14 = -18 16u = -18 Divide each side by '16'. u = -1.125 Simplifying u = -1.125
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