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Simplifying -8 = -2u + 6(u + -4) Reorder the terms: -8 = -2u + 6(-4 + u) -8 = -2u + (-4 * 6 + u * 6) -8 = -2u + (-24 + 6u) Reorder the terms: -8 = -24 + -2u + 6u Combine like terms: -2u + 6u = 4u -8 = -24 + 4u Solving -8 = -24 + 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. -8 + -4u = -24 + 4u + -4u Combine like terms: 4u + -4u = 0 -8 + -4u = -24 + 0 -8 + -4u = -24 Add '8' to each side of the equation. -8 + 8 + -4u = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -4u = -24 + 8 -4u = -24 + 8 Combine like terms: -24 + 8 = -16 -4u = -16 Divide each side by '-4'. u = 4 Simplifying u = 4
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