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Simplifying -2u + 42 = -4(u + -9) Reorder the terms: 42 + -2u = -4(u + -9) Reorder the terms: 42 + -2u = -4(-9 + u) 42 + -2u = (-9 * -4 + u * -4) 42 + -2u = (36 + -4u) Solving 42 + -2u = 36 + -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. 42 + -2u + 4u = 36 + -4u + 4u Combine like terms: -2u + 4u = 2u 42 + 2u = 36 + -4u + 4u Combine like terms: -4u + 4u = 0 42 + 2u = 36 + 0 42 + 2u = 36 Add '-42' to each side of the equation. 42 + -42 + 2u = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 2u = 36 + -42 2u = 36 + -42 Combine like terms: 36 + -42 = -6 2u = -6 Divide each side by '2'. u = -3 Simplifying u = -3
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