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Simplifying -3u + 8 = -8(u + -6) Reorder the terms: 8 + -3u = -8(u + -6) Reorder the terms: 8 + -3u = -8(-6 + u) 8 + -3u = (-6 * -8 + u * -8) 8 + -3u = (48 + -8u) Solving 8 + -3u = 48 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 8 + -3u + 8u = 48 + -8u + 8u Combine like terms: -3u + 8u = 5u 8 + 5u = 48 + -8u + 8u Combine like terms: -8u + 8u = 0 8 + 5u = 48 + 0 8 + 5u = 48 Add '-8' to each side of the equation. 8 + -8 + 5u = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 5u = 48 + -8 5u = 48 + -8 Combine like terms: 48 + -8 = 40 5u = 40 Divide each side by '5'. u = 8 Simplifying u = 8
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