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Simplifying 6u + 6 = 8(u + 1) Reorder the terms: 6 + 6u = 8(u + 1) Reorder the terms: 6 + 6u = 8(1 + u) 6 + 6u = (1 * 8 + u * 8) 6 + 6u = (8 + 8u) Solving 6 + 6u = 8 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 6 + 6u + -8u = 8 + 8u + -8u Combine like terms: 6u + -8u = -2u 6 + -2u = 8 + 8u + -8u Combine like terms: 8u + -8u = 0 6 + -2u = 8 + 0 6 + -2u = 8 Add '-6' to each side of the equation. 6 + -6 + -2u = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -2u = 8 + -6 -2u = 8 + -6 Combine like terms: 8 + -6 = 2 -2u = 2 Divide each side by '-2'. u = -1 Simplifying u = -1
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