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Simplifying 6u + 48 = -3(u + 2) Reorder the terms: 48 + 6u = -3(u + 2) Reorder the terms: 48 + 6u = -3(2 + u) 48 + 6u = (2 * -3 + u * -3) 48 + 6u = (-6 + -3u) Solving 48 + 6u = -6 + -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 = -6 + -3u + 3u Combine like terms: 6u + 3u = 9u 48 + 9u = -6 + -3u + 3u Combine like terms: -3u + 3u = 0 48 + 9u = -6 + 0 48 + 9u = -6 Add '-48' to each side of the equation. 48 + -48 + 9u = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 9u = -6 + -48 9u = -6 + -48 Combine like terms: -6 + -48 = -54 9u = -54 Divide each side by '9'. u = -6 Simplifying u = -6
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