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Simplifying -3(u + 5) = 9u + 45 Reorder the terms: -3(5 + u) = 9u + 45 (5 * -3 + u * -3) = 9u + 45 (-15 + -3u) = 9u + 45 Reorder the terms: -15 + -3u = 45 + 9u Solving -15 + -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. -15 + -3u + -9u = 45 + 9u + -9u Combine like terms: -3u + -9u = -12u -15 + -12u = 45 + 9u + -9u Combine like terms: 9u + -9u = 0 -15 + -12u = 45 + 0 -15 + -12u = 45 Add '15' to each side of the equation. -15 + 15 + -12u = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -12u = 45 + 15 -12u = 45 + 15 Combine like terms: 45 + 15 = 60 -12u = 60 Divide each side by '-12'. u = -5 Simplifying u = -5
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