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Simplifying 2(u + -8) + -5 = -6(-3u + 4) + -4 Reorder the terms: 2(-8 + u) + -5 = -6(-3u + 4) + -4 (-8 * 2 + u * 2) + -5 = -6(-3u + 4) + -4 (-16 + 2u) + -5 = -6(-3u + 4) + -4 Reorder the terms: -16 + -5 + 2u = -6(-3u + 4) + -4 Combine like terms: -16 + -5 = -21 -21 + 2u = -6(-3u + 4) + -4 Reorder the terms: -21 + 2u = -6(4 + -3u) + -4 -21 + 2u = (4 * -6 + -3u * -6) + -4 -21 + 2u = (-24 + 18u) + -4 Reorder the terms: -21 + 2u = -24 + -4 + 18u Combine like terms: -24 + -4 = -28 -21 + 2u = -28 + 18u Solving -21 + 2u = -28 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -21 + 2u + -18u = -28 + 18u + -18u Combine like terms: 2u + -18u = -16u -21 + -16u = -28 + 18u + -18u Combine like terms: 18u + -18u = 0 -21 + -16u = -28 + 0 -21 + -16u = -28 Add '21' to each side of the equation. -21 + 21 + -16u = -28 + 21 Combine like terms: -21 + 21 = 0 0 + -16u = -28 + 21 -16u = -28 + 21 Combine like terms: -28 + 21 = -7 -16u = -7 Divide each side by '-16'. u = 0.4375 Simplifying u = 0.4375
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