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Simplifying -8(u + 2) = 4u + -40 Reorder the terms: -8(2 + u) = 4u + -40 (2 * -8 + u * -8) = 4u + -40 (-16 + -8u) = 4u + -40 Reorder the terms: -16 + -8u = -40 + 4u Solving -16 + -8u = -40 + 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. -16 + -8u + -4u = -40 + 4u + -4u Combine like terms: -8u + -4u = -12u -16 + -12u = -40 + 4u + -4u Combine like terms: 4u + -4u = 0 -16 + -12u = -40 + 0 -16 + -12u = -40 Add '16' to each side of the equation. -16 + 16 + -12u = -40 + 16 Combine like terms: -16 + 16 = 0 0 + -12u = -40 + 16 -12u = -40 + 16 Combine like terms: -40 + 16 = -24 -12u = -24 Divide each side by '-12'. u = 2 Simplifying u = 2
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