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Simplifying 7(u + 3) = -2(3u + -6) + 7u Reorder the terms: 7(3 + u) = -2(3u + -6) + 7u (3 * 7 + u * 7) = -2(3u + -6) + 7u (21 + 7u) = -2(3u + -6) + 7u Reorder the terms: 21 + 7u = -2(-6 + 3u) + 7u 21 + 7u = (-6 * -2 + 3u * -2) + 7u 21 + 7u = (12 + -6u) + 7u Combine like terms: -6u + 7u = 1u 21 + 7u = 12 + 1u Solving 21 + 7u = 12 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 21 + 7u + -1u = 12 + 1u + -1u Combine like terms: 7u + -1u = 6u 21 + 6u = 12 + 1u + -1u Combine like terms: 1u + -1u = 0 21 + 6u = 12 + 0 21 + 6u = 12 Add '-21' to each side of the equation. 21 + -21 + 6u = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 6u = 12 + -21 6u = 12 + -21 Combine like terms: 12 + -21 = -9 6u = -9 Divide each side by '6'. u = -1.5 Simplifying u = -1.5
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