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Simplifying -6u + -45 = -9(u + 3) Reorder the terms: -45 + -6u = -9(u + 3) Reorder the terms: -45 + -6u = -9(3 + u) -45 + -6u = (3 * -9 + u * -9) -45 + -6u = (-27 + -9u) Solving -45 + -6u = -27 + -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. -45 + -6u + 9u = -27 + -9u + 9u Combine like terms: -6u + 9u = 3u -45 + 3u = -27 + -9u + 9u Combine like terms: -9u + 9u = 0 -45 + 3u = -27 + 0 -45 + 3u = -27 Add '45' to each side of the equation. -45 + 45 + 3u = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 3u = -27 + 45 3u = -27 + 45 Combine like terms: -27 + 45 = 18 3u = 18 Divide each side by '3'. u = 6 Simplifying u = 6
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