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Simplifying -4(u + 8) = 9u + 20 Reorder the terms: -4(8 + u) = 9u + 20 (8 * -4 + u * -4) = 9u + 20 (-32 + -4u) = 9u + 20 Reorder the terms: -32 + -4u = 20 + 9u Solving -32 + -4u = 20 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -32 + -4u + -9u = 20 + 9u + -9u Combine like terms: -4u + -9u = -13u -32 + -13u = 20 + 9u + -9u Combine like terms: 9u + -9u = 0 -32 + -13u = 20 + 0 -32 + -13u = 20 Add '32' to each side of the equation. -32 + 32 + -13u = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -13u = 20 + 32 -13u = 20 + 32 Combine like terms: 20 + 32 = 52 -13u = 52 Divide each side by '-13'. u = -4 Simplifying u = -4
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