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Simplifying 6(u + -1) = 8u + 12 Reorder the terms: 6(-1 + u) = 8u + 12 (-1 * 6 + u * 6) = 8u + 12 (-6 + 6u) = 8u + 12 Reorder the terms: -6 + 6u = 12 + 8u Solving -6 + 6u = 12 + 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 = 12 + 8u + -8u Combine like terms: 6u + -8u = -2u -6 + -2u = 12 + 8u + -8u Combine like terms: 8u + -8u = 0 -6 + -2u = 12 + 0 -6 + -2u = 12 Add '6' to each side of the equation. -6 + 6 + -2u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2u = 12 + 6 -2u = 12 + 6 Combine like terms: 12 + 6 = 18 -2u = 18 Divide each side by '-2'. u = -9 Simplifying u = -9
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