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Simplifying -3(u + 7) = 9u + -45 Reorder the terms: -3(7 + u) = 9u + -45 (7 * -3 + u * -3) = 9u + -45 (-21 + -3u) = 9u + -45 Reorder the terms: -21 + -3u = -45 + 9u Solving -21 + -3u = -45 + 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. -21 + -3u + -9u = -45 + 9u + -9u Combine like terms: -3u + -9u = -12u -21 + -12u = -45 + 9u + -9u Combine like terms: 9u + -9u = 0 -21 + -12u = -45 + 0 -21 + -12u = -45 Add '21' to each side of the equation. -21 + 21 + -12u = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -12u = -45 + 21 -12u = -45 + 21 Combine like terms: -45 + 21 = -24 -12u = -24 Divide each side by '-12'. u = 2 Simplifying u = 2
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