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Simplifying 12 = -8u + 4(u + -6) Reorder the terms: 12 = -8u + 4(-6 + u) 12 = -8u + (-6 * 4 + u * 4) 12 = -8u + (-24 + 4u) Reorder the terms: 12 = -24 + -8u + 4u Combine like terms: -8u + 4u = -4u 12 = -24 + -4u Solving 12 = -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. 12 + 4u = -24 + -4u + 4u Combine like terms: -4u + 4u = 0 12 + 4u = -24 + 0 12 + 4u = -24 Add '-12' to each side of the equation. 12 + -12 + 4u = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 4u = -24 + -12 4u = -24 + -12 Combine like terms: -24 + -12 = -36 4u = -36 Divide each side by '4'. u = -9 Simplifying u = -9
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