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Simplifying 9(u + -3) = 6u + -48 Reorder the terms: 9(-3 + u) = 6u + -48 (-3 * 9 + u * 9) = 6u + -48 (-27 + 9u) = 6u + -48 Reorder the terms: -27 + 9u = -48 + 6u Solving -27 + 9u = -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. -27 + 9u + -6u = -48 + 6u + -6u Combine like terms: 9u + -6u = 3u -27 + 3u = -48 + 6u + -6u Combine like terms: 6u + -6u = 0 -27 + 3u = -48 + 0 -27 + 3u = -48 Add '27' to each side of the equation. -27 + 27 + 3u = -48 + 27 Combine like terms: -27 + 27 = 0 0 + 3u = -48 + 27 3u = -48 + 27 Combine like terms: -48 + 27 = -21 3u = -21 Divide each side by '3'. u = -7 Simplifying u = -7
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