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Simplifying -4(u + 6) = 5u + 39 Reorder the terms: -4(6 + u) = 5u + 39 (6 * -4 + u * -4) = 5u + 39 (-24 + -4u) = 5u + 39 Reorder the terms: -24 + -4u = 39 + 5u Solving -24 + -4u = 39 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -24 + -4u + -5u = 39 + 5u + -5u Combine like terms: -4u + -5u = -9u -24 + -9u = 39 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + -9u = 39 + 0 -24 + -9u = 39 Add '24' to each side of the equation. -24 + 24 + -9u = 39 + 24 Combine like terms: -24 + 24 = 0 0 + -9u = 39 + 24 -9u = 39 + 24 Combine like terms: 39 + 24 = 63 -9u = 63 Divide each side by '-9'. u = -7 Simplifying u = -7
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