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Simplifying -5(-4u + 3) + -8u = 3(u + -8) + -3 Reorder the terms: -5(3 + -4u) + -8u = 3(u + -8) + -3 (3 * -5 + -4u * -5) + -8u = 3(u + -8) + -3 (-15 + 20u) + -8u = 3(u + -8) + -3 Combine like terms: 20u + -8u = 12u -15 + 12u = 3(u + -8) + -3 Reorder the terms: -15 + 12u = 3(-8 + u) + -3 -15 + 12u = (-8 * 3 + u * 3) + -3 -15 + 12u = (-24 + 3u) + -3 Reorder the terms: -15 + 12u = -24 + -3 + 3u Combine like terms: -24 + -3 = -27 -15 + 12u = -27 + 3u Solving -15 + 12u = -27 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -15 + 12u + -3u = -27 + 3u + -3u Combine like terms: 12u + -3u = 9u -15 + 9u = -27 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + 9u = -27 + 0 -15 + 9u = -27 Add '15' to each side of the equation. -15 + 15 + 9u = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 9u = -27 + 15 9u = -27 + 15 Combine like terms: -27 + 15 = -12 9u = -12 Divide each side by '9'. u = -1.333333333 Simplifying u = -1.333333333
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