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Simplifying 4(u + 2) = -6u + -42 Reorder the terms: 4(2 + u) = -6u + -42 (2 * 4 + u * 4) = -6u + -42 (8 + 4u) = -6u + -42 Reorder the terms: 8 + 4u = -42 + -6u Solving 8 + 4u = -42 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 8 + 4u + 6u = -42 + -6u + 6u Combine like terms: 4u + 6u = 10u 8 + 10u = -42 + -6u + 6u Combine like terms: -6u + 6u = 0 8 + 10u = -42 + 0 8 + 10u = -42 Add '-8' to each side of the equation. 8 + -8 + 10u = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 10u = -42 + -8 10u = -42 + -8 Combine like terms: -42 + -8 = -50 10u = -50 Divide each side by '10'. u = -5 Simplifying u = -5
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