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Simplifying 4u + -8 + 2(4u + 4) = -4(u + 3) Reorder the terms: 4u + -8 + 2(4 + 4u) = -4(u + 3) 4u + -8 + (4 * 2 + 4u * 2) = -4(u + 3) 4u + -8 + (8 + 8u) = -4(u + 3) Reorder the terms: -8 + 8 + 4u + 8u = -4(u + 3) Combine like terms: -8 + 8 = 0 0 + 4u + 8u = -4(u + 3) 4u + 8u = -4(u + 3) Combine like terms: 4u + 8u = 12u 12u = -4(u + 3) Reorder the terms: 12u = -4(3 + u) 12u = (3 * -4 + u * -4) 12u = (-12 + -4u) Solving 12u = -12 + -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. 12u + 4u = -12 + -4u + 4u Combine like terms: 12u + 4u = 16u 16u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 16u = -12 + 0 16u = -12 Divide each side by '16'. u = -0.75 Simplifying u = -0.75
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