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Simplifying -6(u + 6) = -9u + -15 Reorder the terms: -6(6 + u) = -9u + -15 (6 * -6 + u * -6) = -9u + -15 (-36 + -6u) = -9u + -15 Reorder the terms: -36 + -6u = -15 + -9u Solving -36 + -6u = -15 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. -36 + -6u + 9u = -15 + -9u + 9u Combine like terms: -6u + 9u = 3u -36 + 3u = -15 + -9u + 9u Combine like terms: -9u + 9u = 0 -36 + 3u = -15 + 0 -36 + 3u = -15 Add '36' to each side of the equation. -36 + 36 + 3u = -15 + 36 Combine like terms: -36 + 36 = 0 0 + 3u = -15 + 36 3u = -15 + 36 Combine like terms: -15 + 36 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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