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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 = -2u 24 + -2u = -8 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + -2u = -8 + 0 24 + -2u = -8 Add '-24' to each side of the equation. 24 + -24 + -2u = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -2u = -8 + -24 -2u = -8 + -24 Combine like terms: -8 + -24 = -32 -2u = -32 Divide each side by '-2'. u = 16 Simplifying u = 16
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