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Simplifying -5(u + -6) = 4u + 48 Reorder the terms: -5(-6 + u) = 4u + 48 (-6 * -5 + u * -5) = 4u + 48 (30 + -5u) = 4u + 48 Reorder the terms: 30 + -5u = 48 + 4u Solving 30 + -5u = 48 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 30 + -5u + -4u = 48 + 4u + -4u Combine like terms: -5u + -4u = -9u 30 + -9u = 48 + 4u + -4u Combine like terms: 4u + -4u = 0 30 + -9u = 48 + 0 30 + -9u = 48 Add '-30' to each side of the equation. 30 + -30 + -9u = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -9u = 48 + -30 -9u = 48 + -30 Combine like terms: 48 + -30 = 18 -9u = 18 Divide each side by '-9'. u = -2 Simplifying u = -2
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