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Simplifying -8u + -45 = 3(u + 7) Reorder the terms: -45 + -8u = 3(u + 7) Reorder the terms: -45 + -8u = 3(7 + u) -45 + -8u = (7 * 3 + u * 3) -45 + -8u = (21 + 3u) Solving -45 + -8u = 21 + 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 + -8u + -3u = 21 + 3u + -3u Combine like terms: -8u + -3u = -11u -45 + -11u = 21 + 3u + -3u Combine like terms: 3u + -3u = 0 -45 + -11u = 21 + 0 -45 + -11u = 21 Add '45' to each side of the equation. -45 + 45 + -11u = 21 + 45 Combine like terms: -45 + 45 = 0 0 + -11u = 21 + 45 -11u = 21 + 45 Combine like terms: 21 + 45 = 66 -11u = 66 Divide each side by '-11'. u = -6 Simplifying u = -6
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