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Simplifying 6u + -5 + 2(4u + 3) = -4(u + 2) Reorder the terms: 6u + -5 + 2(3 + 4u) = -4(u + 2) 6u + -5 + (3 * 2 + 4u * 2) = -4(u + 2) 6u + -5 + (6 + 8u) = -4(u + 2) Reorder the terms: -5 + 6 + 6u + 8u = -4(u + 2) Combine like terms: -5 + 6 = 1 1 + 6u + 8u = -4(u + 2) Combine like terms: 6u + 8u = 14u 1 + 14u = -4(u + 2) Reorder the terms: 1 + 14u = -4(2 + u) 1 + 14u = (2 * -4 + u * -4) 1 + 14u = (-8 + -4u) Solving 1 + 14u = -8 + -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. 1 + 14u + 4u = -8 + -4u + 4u Combine like terms: 14u + 4u = 18u 1 + 18u = -8 + -4u + 4u Combine like terms: -4u + 4u = 0 1 + 18u = -8 + 0 1 + 18u = -8 Add '-1' to each side of the equation. 1 + -1 + 18u = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 18u = -8 + -1 18u = -8 + -1 Combine like terms: -8 + -1 = -9 18u = -9 Divide each side by '18'. u = -0.5 Simplifying u = -0.5
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