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Simplifying 3(u + 4) = -4u + 40 Reorder the terms: 3(4 + u) = -4u + 40 (4 * 3 + u * 3) = -4u + 40 (12 + 3u) = -4u + 40 Reorder the terms: 12 + 3u = 40 + -4u Solving 12 + 3u = 40 + -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 + 3u + 4u = 40 + -4u + 4u Combine like terms: 3u + 4u = 7u 12 + 7u = 40 + -4u + 4u Combine like terms: -4u + 4u = 0 12 + 7u = 40 + 0 12 + 7u = 40 Add '-12' to each side of the equation. 12 + -12 + 7u = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 7u = 40 + -12 7u = 40 + -12 Combine like terms: 40 + -12 = 28 7u = 28 Divide each side by '7'. u = 4 Simplifying u = 4
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