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Simplifying 4(u + -6) = 8u + -12 Reorder the terms: 4(-6 + u) = 8u + -12 (-6 * 4 + u * 4) = 8u + -12 (-24 + 4u) = 8u + -12 Reorder the terms: -24 + 4u = -12 + 8u Solving -24 + 4u = -12 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -24 + 4u + -8u = -12 + 8u + -8u Combine like terms: 4u + -8u = -4u -24 + -4u = -12 + 8u + -8u Combine like terms: 8u + -8u = 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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