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Simplifying -2(u + 6) + -6u = 4(u + 3) Reorder the terms: -2(6 + u) + -6u = 4(u + 3) (6 * -2 + u * -2) + -6u = 4(u + 3) (-12 + -2u) + -6u = 4(u + 3) Combine like terms: -2u + -6u = -8u -12 + -8u = 4(u + 3) Reorder the terms: -12 + -8u = 4(3 + u) -12 + -8u = (3 * 4 + u * 4) -12 + -8u = (12 + 4u) Solving -12 + -8u = 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. -12 + -8u + -4u = 12 + 4u + -4u Combine like terms: -8u + -4u = -12u -12 + -12u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 -12 + -12u = 12 + 0 -12 + -12u = 12 Add '12' to each side of the equation. -12 + 12 + -12u = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12u = 12 + 12 -12u = 12 + 12 Combine like terms: 12 + 12 = 24 -12u = 24 Divide each side by '-12'. u = -2 Simplifying u = -2
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