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Simplifying -3(6u + -8) + 6u = 3(u + 4) Reorder the terms: -3(-8 + 6u) + 6u = 3(u + 4) (-8 * -3 + 6u * -3) + 6u = 3(u + 4) (24 + -18u) + 6u = 3(u + 4) Combine like terms: -18u + 6u = -12u 24 + -12u = 3(u + 4) Reorder the terms: 24 + -12u = 3(4 + u) 24 + -12u = (4 * 3 + u * 3) 24 + -12u = (12 + 3u) Solving 24 + -12u = 12 + 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. 24 + -12u + -3u = 12 + 3u + -3u Combine like terms: -12u + -3u = -15u 24 + -15u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 24 + -15u = 12 + 0 24 + -15u = 12 Add '-24' to each side of the equation. 24 + -24 + -15u = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -15u = 12 + -24 -15u = 12 + -24 Combine like terms: 12 + -24 = -12 -15u = -12 Divide each side by '-15'. u = 0.8 Simplifying u = 0.8
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