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Simplifying -4(u + -6) = 5u + -48 Reorder the terms: -4(-6 + u) = 5u + -48 (-6 * -4 + u * -4) = 5u + -48 (24 + -4u) = 5u + -48 Reorder the terms: 24 + -4u = -48 + 5u Solving 24 + -4u = -48 + 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 = -48 + 5u + -5u Combine like terms: -4u + -5u = -9u 24 + -9u = -48 + 5u + -5u Combine like terms: 5u + -5u = 0 24 + -9u = -48 + 0 24 + -9u = -48 Add '-24' to each side of the equation. 24 + -24 + -9u = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -9u = -48 + -24 -9u = -48 + -24 Combine like terms: -48 + -24 = -72 -9u = -72 Divide each side by '-9'. u = 8 Simplifying u = 8
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