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Simplifying -12 = 6(u + -3) + -8u Reorder the terms: -12 = 6(-3 + u) + -8u -12 = (-3 * 6 + u * 6) + -8u -12 = (-18 + 6u) + -8u Combine like terms: 6u + -8u = -2u -12 = -18 + -2u Solving -12 = -18 + -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. -12 + 2u = -18 + -2u + 2u Combine like terms: -2u + 2u = 0 -12 + 2u = -18 + 0 -12 + 2u = -18 Add '12' to each side of the equation. -12 + 12 + 2u = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 2u = -18 + 12 2u = -18 + 12 Combine like terms: -18 + 12 = -6 2u = -6 Divide each side by '2'. u = -3 Simplifying u = -3
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