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Simplifying -12 = 8(u + 2) + -4u Reorder the terms: -12 = 8(2 + u) + -4u -12 = (2 * 8 + u * 8) + -4u -12 = (16 + 8u) + -4u Combine like terms: 8u + -4u = 4u -12 = 16 + 4u Solving -12 = 16 + 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 = 16 + 4u + -4u Combine like terms: 4u + -4u = 0 -12 + -4u = 16 + 0 -12 + -4u = 16 Add '12' to each side of the equation. -12 + 12 + -4u = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -4u = 16 + 12 -4u = 16 + 12 Combine like terms: 16 + 12 = 28 -4u = 28 Divide each side by '-4'. u = -7 Simplifying u = -7
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