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