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Simplifying -4(2u + -8) + 5u = 3(u + 8) Reorder the terms: -4(-8 + 2u) + 5u = 3(u + 8) (-8 * -4 + 2u * -4) + 5u = 3(u + 8) (32 + -8u) + 5u = 3(u + 8) Combine like terms: -8u + 5u = -3u 32 + -3u = 3(u + 8) Reorder the terms: 32 + -3u = 3(8 + u) 32 + -3u = (8 * 3 + u * 3) 32 + -3u = (24 + 3u) Solving 32 + -3u = 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. 32 + -3u + -3u = 24 + 3u + -3u Combine like terms: -3u + -3u = -6u 32 + -6u = 24 + 3u + -3u Combine like terms: 3u + -3u = 0 32 + -6u = 24 + 0 32 + -6u = 24 Add '-32' to each side of the equation. 32 + -32 + -6u = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -6u = 24 + -32 -6u = 24 + -32 Combine like terms: 24 + -32 = -8 -6u = -8 Divide each side by '-6'. u = 1.333333333 Simplifying u = 1.333333333
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