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Simplifying -6(-18u + 2) + 8u = 8(5u + -11) Reorder the terms: -6(2 + -18u) + 8u = 8(5u + -11) (2 * -6 + -18u * -6) + 8u = 8(5u + -11) (-12 + 108u) + 8u = 8(5u + -11) Combine like terms: 108u + 8u = 116u -12 + 116u = 8(5u + -11) Reorder the terms: -12 + 116u = 8(-11 + 5u) -12 + 116u = (-11 * 8 + 5u * 8) -12 + 116u = (-88 + 40u) Solving -12 + 116u = -88 + 40u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-40u' to each side of the equation. -12 + 116u + -40u = -88 + 40u + -40u Combine like terms: 116u + -40u = 76u -12 + 76u = -88 + 40u + -40u Combine like terms: 40u + -40u = 0 -12 + 76u = -88 + 0 -12 + 76u = -88 Add '12' to each side of the equation. -12 + 12 + 76u = -88 + 12 Combine like terms: -12 + 12 = 0 0 + 76u = -88 + 12 76u = -88 + 12 Combine like terms: -88 + 12 = -76 76u = -76 Divide each side by '76'. u = -1 Simplifying u = -1
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