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Simplifying 8(u + -2) = 6u + -24 Reorder the terms: 8(-2 + u) = 6u + -24 (-2 * 8 + u * 8) = 6u + -24 (-16 + 8u) = 6u + -24 Reorder the terms: -16 + 8u = -24 + 6u Solving -16 + 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. -16 + 8u + -6u = -24 + 6u + -6u Combine like terms: 8u + -6u = 2u -16 + 2u = -24 + 6u + -6u Combine like terms: 6u + -6u = 0 -16 + 2u = -24 + 0 -16 + 2u = -24 Add '16' to each side of the equation. -16 + 16 + 2u = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 2u = -24 + 16 2u = -24 + 16 Combine like terms: -24 + 16 = -8 2u = -8 Divide each side by '2'. u = -4 Simplifying u = -4
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