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Simplifying 7(u + -33) = 6(-3u + 7) Reorder the terms: 7(-33 + u) = 6(-3u + 7) (-33 * 7 + u * 7) = 6(-3u + 7) (-231 + 7u) = 6(-3u + 7) Reorder the terms: -231 + 7u = 6(7 + -3u) -231 + 7u = (7 * 6 + -3u * 6) -231 + 7u = (42 + -18u) Solving -231 + 7u = 42 + -18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18u' to each side of the equation. -231 + 7u + 18u = 42 + -18u + 18u Combine like terms: 7u + 18u = 25u -231 + 25u = 42 + -18u + 18u Combine like terms: -18u + 18u = 0 -231 + 25u = 42 + 0 -231 + 25u = 42 Add '231' to each side of the equation. -231 + 231 + 25u = 42 + 231 Combine like terms: -231 + 231 = 0 0 + 25u = 42 + 231 25u = 42 + 231 Combine like terms: 42 + 231 = 273 25u = 273 Divide each side by '25'. u = 10.92 Simplifying u = 10.92
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