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Simplifying 6 = 8(u + 3) + -6u Reorder the terms: 6 = 8(3 + u) + -6u 6 = (3 * 8 + u * 8) + -6u 6 = (24 + 8u) + -6u Combine like terms: 8u + -6u = 2u 6 = 24 + 2u Solving 6 = 24 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 6 + -2u = 24 + 2u + -2u Combine like terms: 2u + -2u = 0 6 + -2u = 24 + 0 6 + -2u = 24 Add '-6' to each side of the equation. 6 + -6 + -2u = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -2u = 24 + -6 -2u = 24 + -6 Combine like terms: 24 + -6 = 18 -2u = 18 Divide each side by '-2'. u = -9 Simplifying u = -9
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