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Simplifying 3(4u + -8) = 3(3f + 1) Reorder the terms: 3(-8 + 4u) = 3(3f + 1) (-8 * 3 + 4u * 3) = 3(3f + 1) (-24 + 12u) = 3(3f + 1) Reorder the terms: -24 + 12u = 3(1 + 3f) -24 + 12u = (1 * 3 + 3f * 3) -24 + 12u = (3 + 9f) Solving -24 + 12u = 3 + 9f Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12u = 3 + 24 + 9f Combine like terms: -24 + 24 = 0 0 + 12u = 3 + 24 + 9f 12u = 3 + 24 + 9f Combine like terms: 3 + 24 = 27 12u = 27 + 9f Divide each side by '12'. u = 2.25 + 0.75f Simplifying u = 2.25 + 0.75f
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