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Simplifying -4u + 42 = 5(u + -6) Reorder the terms: 42 + -4u = 5(u + -6) Reorder the terms: 42 + -4u = 5(-6 + u) 42 + -4u = (-6 * 5 + u * 5) 42 + -4u = (-30 + 5u) Solving 42 + -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. 42 + -4u + -5u = -30 + 5u + -5u Combine like terms: -4u + -5u = -9u 42 + -9u = -30 + 5u + -5u Combine like terms: 5u + -5u = 0 42 + -9u = -30 + 0 42 + -9u = -30 Add '-42' to each side of the equation. 42 + -42 + -9u = -30 + -42 Combine like terms: 42 + -42 = 0 0 + -9u = -30 + -42 -9u = -30 + -42 Combine like terms: -30 + -42 = -72 -9u = -72 Divide each side by '-9'. u = 8 Simplifying u = 8
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