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Simplifying 2(u + -6) + -8 = -6(-3u + 5) + -1u Reorder the terms: 2(-6 + u) + -8 = -6(-3u + 5) + -1u (-6 * 2 + u * 2) + -8 = -6(-3u + 5) + -1u (-12 + 2u) + -8 = -6(-3u + 5) + -1u Reorder the terms: -12 + -8 + 2u = -6(-3u + 5) + -1u Combine like terms: -12 + -8 = -20 -20 + 2u = -6(-3u + 5) + -1u Reorder the terms: -20 + 2u = -6(5 + -3u) + -1u -20 + 2u = (5 * -6 + -3u * -6) + -1u -20 + 2u = (-30 + 18u) + -1u Combine like terms: 18u + -1u = 17u -20 + 2u = -30 + 17u Solving -20 + 2u = -30 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -20 + 2u + -17u = -30 + 17u + -17u Combine like terms: 2u + -17u = -15u -20 + -15u = -30 + 17u + -17u Combine like terms: 17u + -17u = 0 -20 + -15u = -30 + 0 -20 + -15u = -30 Add '20' to each side of the equation. -20 + 20 + -15u = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -15u = -30 + 20 -15u = -30 + 20 Combine like terms: -30 + 20 = -10 -15u = -10 Divide each side by '-15'. u = 0.6666666667 Simplifying u = 0.6666666667
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