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Simplifying 3u + -45 = -6(u + -6) Reorder the terms: -45 + 3u = -6(u + -6) Reorder the terms: -45 + 3u = -6(-6 + u) -45 + 3u = (-6 * -6 + u * -6) -45 + 3u = (36 + -6u) Solving -45 + 3u = 36 + -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. -45 + 3u + 6u = 36 + -6u + 6u Combine like terms: 3u + 6u = 9u -45 + 9u = 36 + -6u + 6u Combine like terms: -6u + 6u = 0 -45 + 9u = 36 + 0 -45 + 9u = 36 Add '45' to each side of the equation. -45 + 45 + 9u = 36 + 45 Combine like terms: -45 + 45 = 0 0 + 9u = 36 + 45 9u = 36 + 45 Combine like terms: 36 + 45 = 81 9u = 81 Divide each side by '9'. u = 9 Simplifying u = 9
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