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Simplifying -2(3u + -6) + 2u = 2 + 4(3u + -1) Reorder the terms: -2(-6 + 3u) + 2u = 2 + 4(3u + -1) (-6 * -2 + 3u * -2) + 2u = 2 + 4(3u + -1) (12 + -6u) + 2u = 2 + 4(3u + -1) Combine like terms: -6u + 2u = -4u 12 + -4u = 2 + 4(3u + -1) Reorder the terms: 12 + -4u = 2 + 4(-1 + 3u) 12 + -4u = 2 + (-1 * 4 + 3u * 4) 12 + -4u = 2 + (-4 + 12u) Combine like terms: 2 + -4 = -2 12 + -4u = -2 + 12u Solving 12 + -4u = -2 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 12 + -4u + -12u = -2 + 12u + -12u Combine like terms: -4u + -12u = -16u 12 + -16u = -2 + 12u + -12u Combine like terms: 12u + -12u = 0 12 + -16u = -2 + 0 12 + -16u = -2 Add '-12' to each side of the equation. 12 + -12 + -16u = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -16u = -2 + -12 -16u = -2 + -12 Combine like terms: -2 + -12 = -14 -16u = -14 Divide each side by '-16'. u = 0.875 Simplifying u = 0.875
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