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Simplifying -4(u + 8) = 8u + 40 Reorder the terms: -4(8 + u) = 8u + 40 (8 * -4 + u * -4) = 8u + 40 (-32 + -4u) = 8u + 40 Reorder the terms: -32 + -4u = 40 + 8u Solving -32 + -4u = 40 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -32 + -4u + -8u = 40 + 8u + -8u Combine like terms: -4u + -8u = -12u -32 + -12u = 40 + 8u + -8u Combine like terms: 8u + -8u = 0 -32 + -12u = 40 + 0 -32 + -12u = 40 Add '32' to each side of the equation. -32 + 32 + -12u = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -12u = 40 + 32 -12u = 40 + 32 Combine like terms: 40 + 32 = 72 -12u = 72 Divide each side by '-12'. u = -6 Simplifying u = -6
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