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Simplifying -4(2u + -6) = -4 + -12u Reorder the terms: -4(-6 + 2u) = -4 + -12u (-6 * -4 + 2u * -4) = -4 + -12u (24 + -8u) = -4 + -12u Solving 24 + -8u = -4 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 24 + -8u + 12u = -4 + -12u + 12u Combine like terms: -8u + 12u = 4u 24 + 4u = -4 + -12u + 12u Combine like terms: -12u + 12u = 0 24 + 4u = -4 + 0 24 + 4u = -4 Add '-24' to each side of the equation. 24 + -24 + 4u = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4u = -4 + -24 4u = -4 + -24 Combine like terms: -4 + -24 = -28 4u = -28 Divide each side by '4'. u = -7 Simplifying u = -7
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