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Simplifying -5(u + 3) = 3u + -8 + 3(2u + -1) Reorder the terms: -5(3 + u) = 3u + -8 + 3(2u + -1) (3 * -5 + u * -5) = 3u + -8 + 3(2u + -1) (-15 + -5u) = 3u + -8 + 3(2u + -1) Reorder the terms: -15 + -5u = 3u + -8 + 3(-1 + 2u) -15 + -5u = 3u + -8 + (-1 * 3 + 2u * 3) -15 + -5u = 3u + -8 + (-3 + 6u) Reorder the terms: -15 + -5u = -8 + -3 + 3u + 6u Combine like terms: -8 + -3 = -11 -15 + -5u = -11 + 3u + 6u Combine like terms: 3u + 6u = 9u -15 + -5u = -11 + 9u Solving -15 + -5u = -11 + 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 + -5u + -9u = -11 + 9u + -9u Combine like terms: -5u + -9u = -14u -15 + -14u = -11 + 9u + -9u Combine like terms: 9u + -9u = 0 -15 + -14u = -11 + 0 -15 + -14u = -11 Add '15' to each side of the equation. -15 + 15 + -14u = -11 + 15 Combine like terms: -15 + 15 = 0 0 + -14u = -11 + 15 -14u = -11 + 15 Combine like terms: -11 + 15 = 4 -14u = 4 Divide each side by '-14'. u = -0.2857142857 Simplifying u = -0.2857142857
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