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Simplifying -2(4u + -1) + 2u = -2(u + 8) Reorder the terms: -2(-1 + 4u) + 2u = -2(u + 8) (-1 * -2 + 4u * -2) + 2u = -2(u + 8) (2 + -8u) + 2u = -2(u + 8) Combine like terms: -8u + 2u = -6u 2 + -6u = -2(u + 8) Reorder the terms: 2 + -6u = -2(8 + u) 2 + -6u = (8 * -2 + u * -2) 2 + -6u = (-16 + -2u) Solving 2 + -6u = -16 + -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 + -6u + 2u = -16 + -2u + 2u Combine like terms: -6u + 2u = -4u 2 + -4u = -16 + -2u + 2u Combine like terms: -2u + 2u = 0 2 + -4u = -16 + 0 2 + -4u = -16 Add '-2' to each side of the equation. 2 + -2 + -4u = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -4u = -16 + -2 -4u = -16 + -2 Combine like terms: -16 + -2 = -18 -4u = -18 Divide each side by '-4'. u = 4.5 Simplifying u = 4.5
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