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Simplifying -6(-4u + 7) + -1u = 5(u + -4) + -7 Reorder the terms: -6(7 + -4u) + -1u = 5(u + -4) + -7 (7 * -6 + -4u * -6) + -1u = 5(u + -4) + -7 (-42 + 24u) + -1u = 5(u + -4) + -7 Combine like terms: 24u + -1u = 23u -42 + 23u = 5(u + -4) + -7 Reorder the terms: -42 + 23u = 5(-4 + u) + -7 -42 + 23u = (-4 * 5 + u * 5) + -7 -42 + 23u = (-20 + 5u) + -7 Reorder the terms: -42 + 23u = -20 + -7 + 5u Combine like terms: -20 + -7 = -27 -42 + 23u = -27 + 5u Solving -42 + 23u = -27 + 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. -42 + 23u + -5u = -27 + 5u + -5u Combine like terms: 23u + -5u = 18u -42 + 18u = -27 + 5u + -5u Combine like terms: 5u + -5u = 0 -42 + 18u = -27 + 0 -42 + 18u = -27 Add '42' to each side of the equation. -42 + 42 + 18u = -27 + 42 Combine like terms: -42 + 42 = 0 0 + 18u = -27 + 42 18u = -27 + 42 Combine like terms: -27 + 42 = 15 18u = 15 Divide each side by '18'. u = 0.8333333333 Simplifying u = 0.8333333333
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