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Simplifying -4(u + 6) = 2(3u + 4) Reorder the terms: -4(6 + u) = 2(3u + 4) (6 * -4 + u * -4) = 2(3u + 4) (-24 + -4u) = 2(3u + 4) Reorder the terms: -24 + -4u = 2(4 + 3u) -24 + -4u = (4 * 2 + 3u * 2) -24 + -4u = (8 + 6u) Solving -24 + -4u = 8 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -24 + -4u + -6u = 8 + 6u + -6u Combine like terms: -4u + -6u = -10u -24 + -10u = 8 + 6u + -6u Combine like terms: 6u + -6u = 0 -24 + -10u = 8 + 0 -24 + -10u = 8 Add '24' to each side of the equation. -24 + 24 + -10u = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -10u = 8 + 24 -10u = 8 + 24 Combine like terms: 8 + 24 = 32 -10u = 32 Divide each side by '-10'. u = -3.2 Simplifying u = -3.2
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