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Simplifying -6(-4u + 4) + -3u = 5(u + -3) + -5 Reorder the terms: -6(4 + -4u) + -3u = 5(u + -3) + -5 (4 * -6 + -4u * -6) + -3u = 5(u + -3) + -5 (-24 + 24u) + -3u = 5(u + -3) + -5 Combine like terms: 24u + -3u = 21u -24 + 21u = 5(u + -3) + -5 Reorder the terms: -24 + 21u = 5(-3 + u) + -5 -24 + 21u = (-3 * 5 + u * 5) + -5 -24 + 21u = (-15 + 5u) + -5 Reorder the terms: -24 + 21u = -15 + -5 + 5u Combine like terms: -15 + -5 = -20 -24 + 21u = -20 + 5u Solving -24 + 21u = -20 + 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. -24 + 21u + -5u = -20 + 5u + -5u Combine like terms: 21u + -5u = 16u -24 + 16u = -20 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 16u = -20 + 0 -24 + 16u = -20 Add '24' to each side of the equation. -24 + 24 + 16u = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 16u = -20 + 24 16u = -20 + 24 Combine like terms: -20 + 24 = 4 16u = 4 Divide each side by '16'. u = 0.25 Simplifying u = 0.25
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