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Simplifying 7u + -24 = 5(u + -6) Reorder the terms: -24 + 7u = 5(u + -6) Reorder the terms: -24 + 7u = 5(-6 + u) -24 + 7u = (-6 * 5 + u * 5) -24 + 7u = (-30 + 5u) Solving -24 + 7u = -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 + 7u + -5u = -30 + 5u + -5u Combine like terms: 7u + -5u = 2u -24 + 2u = -30 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 2u = -30 + 0 -24 + 2u = -30 Add '24' to each side of the equation. -24 + 24 + 2u = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2u = -30 + 24 2u = -30 + 24 Combine like terms: -30 + 24 = -6 2u = -6 Divide each side by '2'. u = -3 Simplifying u = -3
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