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Simplifying -12 = 4(u + 2) + -8u Reorder the terms: -12 = 4(2 + u) + -8u -12 = (2 * 4 + u * 4) + -8u -12 = (8 + 4u) + -8u Combine like terms: 4u + -8u = -4u -12 = 8 + -4u Solving -12 = 8 + -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 = 8 + -4u + 4u Combine like terms: -4u + 4u = 0 -12 + 4u = 8 + 0 -12 + 4u = 8 Add '12' to each side of the equation. -12 + 12 + 4u = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4u = 8 + 12 4u = 8 + 12 Combine like terms: 8 + 12 = 20 4u = 20 Divide each side by '4'. u = 5 Simplifying u = 5
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