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Simplifying 8 = -2u + 6(u + 6) Reorder the terms: 8 = -2u + 6(6 + u) 8 = -2u + (6 * 6 + u * 6) 8 = -2u + (36 + 6u) Reorder the terms: 8 = 36 + -2u + 6u Combine like terms: -2u + 6u = 4u 8 = 36 + 4u Solving 8 = 36 + 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. 8 + -4u = 36 + 4u + -4u Combine like terms: 4u + -4u = 0 8 + -4u = 36 + 0 8 + -4u = 36 Add '-8' to each side of the equation. 8 + -8 + -4u = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -4u = 36 + -8 -4u = 36 + -8 Combine like terms: 36 + -8 = 28 -4u = 28 Divide each side by '-4'. u = -7 Simplifying u = -7
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