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Simplifying -6(-3u + 4) + -4u = 2(u + -3) + -4 Reorder the terms: -6(4 + -3u) + -4u = 2(u + -3) + -4 (4 * -6 + -3u * -6) + -4u = 2(u + -3) + -4 (-24 + 18u) + -4u = 2(u + -3) + -4 Combine like terms: 18u + -4u = 14u -24 + 14u = 2(u + -3) + -4 Reorder the terms: -24 + 14u = 2(-3 + u) + -4 -24 + 14u = (-3 * 2 + u * 2) + -4 -24 + 14u = (-6 + 2u) + -4 Reorder the terms: -24 + 14u = -6 + -4 + 2u Combine like terms: -6 + -4 = -10 -24 + 14u = -10 + 2u Solving -24 + 14u = -10 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -24 + 14u + -2u = -10 + 2u + -2u Combine like terms: 14u + -2u = 12u -24 + 12u = -10 + 2u + -2u Combine like terms: 2u + -2u = 0 -24 + 12u = -10 + 0 -24 + 12u = -10 Add '24' to each side of the equation. -24 + 24 + 12u = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 12u = -10 + 24 12u = -10 + 24 Combine like terms: -10 + 24 = 14 12u = 14 Divide each side by '12'. u = 1.166666667 Simplifying u = 1.166666667
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