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Simplifying -8(u + -4) = 6u + -24 Reorder the terms: -8(-4 + u) = 6u + -24 (-4 * -8 + u * -8) = 6u + -24 (32 + -8u) = 6u + -24 Reorder the terms: 32 + -8u = -24 + 6u Solving 32 + -8u = -24 + 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. 32 + -8u + -6u = -24 + 6u + -6u Combine like terms: -8u + -6u = -14u 32 + -14u = -24 + 6u + -6u Combine like terms: 6u + -6u = 0 32 + -14u = -24 + 0 32 + -14u = -24 Add '-32' to each side of the equation. 32 + -32 + -14u = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -14u = -24 + -32 -14u = -24 + -32 Combine like terms: -24 + -32 = -56 -14u = -56 Divide each side by '-14'. u = 4 Simplifying u = 4
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