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Simplifying 4u + -8 + 2(2u + 2) = -4(u + 5) Reorder the terms: 4u + -8 + 2(2 + 2u) = -4(u + 5) 4u + -8 + (2 * 2 + 2u * 2) = -4(u + 5) 4u + -8 + (4 + 4u) = -4(u + 5) Reorder the terms: -8 + 4 + 4u + 4u = -4(u + 5) Combine like terms: -8 + 4 = -4 -4 + 4u + 4u = -4(u + 5) Combine like terms: 4u + 4u = 8u -4 + 8u = -4(u + 5) Reorder the terms: -4 + 8u = -4(5 + u) -4 + 8u = (5 * -4 + u * -4) -4 + 8u = (-20 + -4u) Solving -4 + 8u = -20 + -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. -4 + 8u + 4u = -20 + -4u + 4u Combine like terms: 8u + 4u = 12u -4 + 12u = -20 + -4u + 4u Combine like terms: -4u + 4u = 0 -4 + 12u = -20 + 0 -4 + 12u = -20 Add '4' to each side of the equation. -4 + 4 + 12u = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 12u = -20 + 4 12u = -20 + 4 Combine like terms: -20 + 4 = -16 12u = -16 Divide each side by '12'. u = -1.333333333 Simplifying u = -1.333333333
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