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Simplifying 24 = 3(u + -6) + 4u Reorder the terms: 24 = 3(-6 + u) + 4u 24 = (-6 * 3 + u * 3) + 4u 24 = (-18 + 3u) + 4u Combine like terms: 3u + 4u = 7u 24 = -18 + 7u Solving 24 = -18 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 24 + -7u = -18 + 7u + -7u Combine like terms: 7u + -7u = 0 24 + -7u = -18 + 0 24 + -7u = -18 Add '-24' to each side of the equation. 24 + -24 + -7u = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -7u = -18 + -24 -7u = -18 + -24 Combine like terms: -18 + -24 = -42 -7u = -42 Divide each side by '-7'. u = 6 Simplifying u = 6
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