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Simplifying -8u + -21 = -3(u + -8) Reorder the terms: -21 + -8u = -3(u + -8) Reorder the terms: -21 + -8u = -3(-8 + u) -21 + -8u = (-8 * -3 + u * -3) -21 + -8u = (24 + -3u) Solving -21 + -8u = 24 + -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. -21 + -8u + 3u = 24 + -3u + 3u Combine like terms: -8u + 3u = -5u -21 + -5u = 24 + -3u + 3u Combine like terms: -3u + 3u = 0 -21 + -5u = 24 + 0 -21 + -5u = 24 Add '21' to each side of the equation. -21 + 21 + -5u = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -5u = 24 + 21 -5u = 24 + 21 Combine like terms: 24 + 21 = 45 -5u = 45 Divide each side by '-5'. u = -9 Simplifying u = -9
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