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Simplifying 8u + -2 + 2(4u + 2) = -2(u + 5) Reorder the terms: 8u + -2 + 2(2 + 4u) = -2(u + 5) 8u + -2 + (2 * 2 + 4u * 2) = -2(u + 5) 8u + -2 + (4 + 8u) = -2(u + 5) Reorder the terms: -2 + 4 + 8u + 8u = -2(u + 5) Combine like terms: -2 + 4 = 2 2 + 8u + 8u = -2(u + 5) Combine like terms: 8u + 8u = 16u 2 + 16u = -2(u + 5) Reorder the terms: 2 + 16u = -2(5 + u) 2 + 16u = (5 * -2 + u * -2) 2 + 16u = (-10 + -2u) Solving 2 + 16u = -10 + -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. 2 + 16u + 2u = -10 + -2u + 2u Combine like terms: 16u + 2u = 18u 2 + 18u = -10 + -2u + 2u Combine like terms: -2u + 2u = 0 2 + 18u = -10 + 0 2 + 18u = -10 Add '-2' to each side of the equation. 2 + -2 + 18u = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 18u = -10 + -2 18u = -10 + -2 Combine like terms: -10 + -2 = -12 18u = -12 Divide each side by '18'. u = -0.6666666667 Simplifying u = -0.6666666667
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