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Simplifying -6(3u + 5) + -9u = 5(u + -4) + -4 Reorder the terms: -6(5 + 3u) + -9u = 5(u + -4) + -4 (5 * -6 + 3u * -6) + -9u = 5(u + -4) + -4 (-30 + -18u) + -9u = 5(u + -4) + -4 Combine like terms: -18u + -9u = -27u -30 + -27u = 5(u + -4) + -4 Reorder the terms: -30 + -27u = 5(-4 + u) + -4 -30 + -27u = (-4 * 5 + u * 5) + -4 -30 + -27u = (-20 + 5u) + -4 Reorder the terms: -30 + -27u = -20 + -4 + 5u Combine like terms: -20 + -4 = -24 -30 + -27u = -24 + 5u Solving -30 + -27u = -24 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -30 + -27u + -5u = -24 + 5u + -5u Combine like terms: -27u + -5u = -32u -30 + -32u = -24 + 5u + -5u Combine like terms: 5u + -5u = 0 -30 + -32u = -24 + 0 -30 + -32u = -24 Add '30' to each side of the equation. -30 + 30 + -32u = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -32u = -24 + 30 -32u = -24 + 30 Combine like terms: -24 + 30 = 6 -32u = 6 Divide each side by '-32'. u = -0.1875 Simplifying u = -0.1875
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