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Simplifying 4u + 46 = -2(u + 4) Reorder the terms: 46 + 4u = -2(u + 4) Reorder the terms: 46 + 4u = -2(4 + u) 46 + 4u = (4 * -2 + u * -2) 46 + 4u = (-8 + -2u) Solving 46 + 4u = -8 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 46 + 4u + 2u = -8 + -2u + 2u Combine like terms: 4u + 2u = 6u 46 + 6u = -8 + -2u + 2u Combine like terms: -2u + 2u = 0 46 + 6u = -8 + 0 46 + 6u = -8 Add '-46' to each side of the equation. 46 + -46 + 6u = -8 + -46 Combine like terms: 46 + -46 = 0 0 + 6u = -8 + -46 6u = -8 + -46 Combine like terms: -8 + -46 = -54 6u = -54 Divide each side by '6'. u = -9 Simplifying u = -9
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