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Simplifying -7u + 3(u + 8) = -12 Reorder the terms: -7u + 3(8 + u) = -12 -7u + (8 * 3 + u * 3) = -12 -7u + (24 + 3u) = -12 Reorder the terms: 24 + -7u + 3u = -12 Combine like terms: -7u + 3u = -4u 24 + -4u = -12 Solving 24 + -4u = -12 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. 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 = -36 -4u = -36 Divide each side by '-4'. u = 9 Simplifying u = 9
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