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Simplifying 6(5 + -3u) = -4u + -17 (5 * 6 + -3u * 6) = -4u + -17 (30 + -18u) = -4u + -17 Reorder the terms: 30 + -18u = -17 + -4u Solving 30 + -18u = -17 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 30 + -18u + 4u = -17 + -4u + 4u Combine like terms: -18u + 4u = -14u 30 + -14u = -17 + -4u + 4u Combine like terms: -4u + 4u = 0 30 + -14u = -17 + 0 30 + -14u = -17 Add '-30' to each side of the equation. 30 + -30 + -14u = -17 + -30 Combine like terms: 30 + -30 = 0 0 + -14u = -17 + -30 -14u = -17 + -30 Combine like terms: -17 + -30 = -47 -14u = -47 Divide each side by '-14'. u = 3.357142857 Simplifying u = 3.357142857
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