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Simplifying -4(u + 5) = -6u + -32 Reorder the terms: -4(5 + u) = -6u + -32 (5 * -4 + u * -4) = -6u + -32 (-20 + -4u) = -6u + -32 Reorder the terms: -20 + -4u = -32 + -6u Solving -20 + -4u = -32 + -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. -20 + -4u + 6u = -32 + -6u + 6u Combine like terms: -4u + 6u = 2u -20 + 2u = -32 + -6u + 6u Combine like terms: -6u + 6u = 0 -20 + 2u = -32 + 0 -20 + 2u = -32 Add '20' to each side of the equation. -20 + 20 + 2u = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 2u = -32 + 20 2u = -32 + 20 Combine like terms: -32 + 20 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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