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Simplifying 4u + -24 = -5(u + -6) Reorder the terms: -24 + 4u = -5(u + -6) Reorder the terms: -24 + 4u = -5(-6 + u) -24 + 4u = (-6 * -5 + u * -5) -24 + 4u = (30 + -5u) Solving -24 + 4u = 30 + -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 = 30 + -5u + 5u Combine like terms: 4u + 5u = 9u -24 + 9u = 30 + -5u + 5u Combine like terms: -5u + 5u = 0 -24 + 9u = 30 + 0 -24 + 9u = 30 Add '24' to each side of the equation. -24 + 24 + 9u = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 9u = 30 + 24 9u = 30 + 24 Combine like terms: 30 + 24 = 54 9u = 54 Divide each side by '9'. u = 6 Simplifying u = 6
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