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Simplifying -2u + -46 = -4(u + 8) Reorder the terms: -46 + -2u = -4(u + 8) Reorder the terms: -46 + -2u = -4(8 + u) -46 + -2u = (8 * -4 + u * -4) -46 + -2u = (-32 + -4u) Solving -46 + -2u = -32 + -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. -46 + -2u + 4u = -32 + -4u + 4u Combine like terms: -2u + 4u = 2u -46 + 2u = -32 + -4u + 4u Combine like terms: -4u + 4u = 0 -46 + 2u = -32 + 0 -46 + 2u = -32 Add '46' to each side of the equation. -46 + 46 + 2u = -32 + 46 Combine like terms: -46 + 46 = 0 0 + 2u = -32 + 46 2u = -32 + 46 Combine like terms: -32 + 46 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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