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Simplifying 2(u + -8) + -5 = -6(-3u + 4) + -1u Reorder the terms: 2(-8 + u) + -5 = -6(-3u + 4) + -1u (-8 * 2 + u * 2) + -5 = -6(-3u + 4) + -1u (-16 + 2u) + -5 = -6(-3u + 4) + -1u Reorder the terms: -16 + -5 + 2u = -6(-3u + 4) + -1u Combine like terms: -16 + -5 = -21 -21 + 2u = -6(-3u + 4) + -1u Reorder the terms: -21 + 2u = -6(4 + -3u) + -1u -21 + 2u = (4 * -6 + -3u * -6) + -1u -21 + 2u = (-24 + 18u) + -1u Combine like terms: 18u + -1u = 17u -21 + 2u = -24 + 17u Solving -21 + 2u = -24 + 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. -21 + 2u + -17u = -24 + 17u + -17u Combine like terms: 2u + -17u = -15u -21 + -15u = -24 + 17u + -17u Combine like terms: 17u + -17u = 0 -21 + -15u = -24 + 0 -21 + -15u = -24 Add '21' to each side of the equation. -21 + 21 + -15u = -24 + 21 Combine like terms: -21 + 21 = 0 0 + -15u = -24 + 21 -15u = -24 + 21 Combine like terms: -24 + 21 = -3 -15u = -3 Divide each side by '-15'. u = 0.2 Simplifying u = 0.2
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