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Simplifying 3(u + 8) = -3(7u + -6) + 6 Reorder the terms: 3(8 + u) = -3(7u + -6) + 6 (8 * 3 + u * 3) = -3(7u + -6) + 6 (24 + 3u) = -3(7u + -6) + 6 Reorder the terms: 24 + 3u = -3(-6 + 7u) + 6 24 + 3u = (-6 * -3 + 7u * -3) + 6 24 + 3u = (18 + -21u) + 6 Reorder the terms: 24 + 3u = 18 + 6 + -21u Combine like terms: 18 + 6 = 24 24 + 3u = 24 + -21u Add '-24' to each side of the equation. 24 + -24 + 3u = 24 + -24 + -21u Combine like terms: 24 + -24 = 0 0 + 3u = 24 + -24 + -21u 3u = 24 + -24 + -21u Combine like terms: 24 + -24 = 0 3u = 0 + -21u 3u = -21u Solving 3u = -21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21u' to each side of the equation. 3u + 21u = -21u + 21u Combine like terms: 3u + 21u = 24u 24u = -21u + 21u Combine like terms: -21u + 21u = 0 24u = 0 Divide each side by '24'. u = 0 Simplifying u = 0
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