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Simplifying -30 = 2(u + -6) + -8u Reorder the terms: -30 = 2(-6 + u) + -8u -30 = (-6 * 2 + u * 2) + -8u -30 = (-12 + 2u) + -8u Combine like terms: 2u + -8u = -6u -30 = -12 + -6u Solving -30 = -12 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -30 + 6u = -12 + -6u + 6u Combine like terms: -6u + 6u = 0 -30 + 6u = -12 + 0 -30 + 6u = -12 Add '30' to each side of the equation. -30 + 30 + 6u = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 6u = -12 + 30 6u = -12 + 30 Combine like terms: -12 + 30 = 18 6u = 18 Divide each side by '6'. u = 3 Simplifying u = 3
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