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Simplifying 12 = 3(u + 8) + -7u Reorder the terms: 12 = 3(8 + u) + -7u 12 = (8 * 3 + u * 3) + -7u 12 = (24 + 3u) + -7u Combine like terms: 3u + -7u = -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 = 12 4u = 12 Divide each side by '4'. u = 3 Simplifying u = 3
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