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Simplifying -2(3u + -6) + 8u = -4(u + 1) Reorder the terms: -2(-6 + 3u) + 8u = -4(u + 1) (-6 * -2 + 3u * -2) + 8u = -4(u + 1) (12 + -6u) + 8u = -4(u + 1) Combine like terms: -6u + 8u = 2u 12 + 2u = -4(u + 1) Reorder the terms: 12 + 2u = -4(1 + u) 12 + 2u = (1 * -4 + u * -4) 12 + 2u = (-4 + -4u) Solving 12 + 2u = -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. 12 + 2u + 4u = -4 + -4u + 4u Combine like terms: 2u + 4u = 6u 12 + 6u = -4 + -4u + 4u Combine like terms: -4u + 4u = 0 12 + 6u = -4 + 0 12 + 6u = -4 Add '-12' to each side of the equation. 12 + -12 + 6u = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 6u = -4 + -12 6u = -4 + -12 Combine like terms: -4 + -12 = -16 6u = -16 Divide each side by '6'. u = -2.666666667 Simplifying u = -2.666666667
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