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Simplifying 3(u + 5) = -6u + -48 Reorder the terms: 3(5 + u) = -6u + -48 (5 * 3 + u * 3) = -6u + -48 (15 + 3u) = -6u + -48 Reorder the terms: 15 + 3u = -48 + -6u Solving 15 + 3u = -48 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 15 + 3u + 6u = -48 + -6u + 6u Combine like terms: 3u + 6u = 9u 15 + 9u = -48 + -6u + 6u Combine like terms: -6u + 6u = 0 15 + 9u = -48 + 0 15 + 9u = -48 Add '-15' to each side of the equation. 15 + -15 + 9u = -48 + -15 Combine like terms: 15 + -15 = 0 0 + 9u = -48 + -15 9u = -48 + -15 Combine like terms: -48 + -15 = -63 9u = -63 Divide each side by '9'. u = -7 Simplifying u = -7
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