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