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Simplifying -6(u + 7) = 3u + 48 Reorder the terms: -6(7 + u) = 3u + 48 (7 * -6 + u * -6) = 3u + 48 (-42 + -6u) = 3u + 48 Reorder the terms: -42 + -6u = 48 + 3u Solving -42 + -6u = 48 + 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. -42 + -6u + -3u = 48 + 3u + -3u Combine like terms: -6u + -3u = -9u -42 + -9u = 48 + 3u + -3u Combine like terms: 3u + -3u = 0 -42 + -9u = 48 + 0 -42 + -9u = 48 Add '42' to each side of the equation. -42 + 42 + -9u = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -9u = 48 + 42 -9u = 48 + 42 Combine like terms: 48 + 42 = 90 -9u = 90 Divide each side by '-9'. u = -10 Simplifying u = -10
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