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Simplifying -9u + -45 = 3(u + 9) Reorder the terms: -45 + -9u = 3(u + 9) Reorder the terms: -45 + -9u = 3(9 + u) -45 + -9u = (9 * 3 + u * 3) -45 + -9u = (27 + 3u) Solving -45 + -9u = 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 + -9u + -3u = 27 + 3u + -3u Combine like terms: -9u + -3u = -12u -45 + -12u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 -45 + -12u = 27 + 0 -45 + -12u = 27 Add '45' to each side of the equation. -45 + 45 + -12u = 27 + 45 Combine like terms: -45 + 45 = 0 0 + -12u = 27 + 45 -12u = 27 + 45 Combine like terms: 27 + 45 = 72 -12u = 72 Divide each side by '-12'. u = -6 Simplifying u = -6
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