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Simplifying 6u + -5 + 2(4u + 8) = -4(u + 1) Reorder the terms: 6u + -5 + 2(8 + 4u) = -4(u + 1) 6u + -5 + (8 * 2 + 4u * 2) = -4(u + 1) 6u + -5 + (16 + 8u) = -4(u + 1) Reorder the terms: -5 + 16 + 6u + 8u = -4(u + 1) Combine like terms: -5 + 16 = 11 11 + 6u + 8u = -4(u + 1) Combine like terms: 6u + 8u = 14u 11 + 14u = -4(u + 1) Reorder the terms: 11 + 14u = -4(1 + u) 11 + 14u = (1 * -4 + u * -4) 11 + 14u = (-4 + -4u) Solving 11 + 14u = -4 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 11 + 14u + 4u = -4 + -4u + 4u Combine like terms: 14u + 4u = 18u 11 + 18u = -4 + -4u + 4u Combine like terms: -4u + 4u = 0 11 + 18u = -4 + 0 11 + 18u = -4 Add '-11' to each side of the equation. 11 + -11 + 18u = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 18u = -4 + -11 18u = -4 + -11 Combine like terms: -4 + -11 = -15 18u = -15 Divide each side by '18'. u = -0.8333333333 Simplifying u = -0.8333333333
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