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