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Simplifying 6(u + 8) = -3u + 12 Reorder the terms: 6(8 + u) = -3u + 12 (8 * 6 + u * 6) = -3u + 12 (48 + 6u) = -3u + 12 Reorder the terms: 48 + 6u = 12 + -3u Solving 48 + 6u = 12 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 48 + 6u + 3u = 12 + -3u + 3u Combine like terms: 6u + 3u = 9u 48 + 9u = 12 + -3u + 3u Combine like terms: -3u + 3u = 0 48 + 9u = 12 + 0 48 + 9u = 12 Add '-48' to each side of the equation. 48 + -48 + 9u = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 9u = 12 + -48 9u = 12 + -48 Combine like terms: 12 + -48 = -36 9u = -36 Divide each side by '9'. u = -4 Simplifying u = -4
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