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Simplifying -2(7u + -9) + 8u = 2(u + 6) Reorder the terms: -2(-9 + 7u) + 8u = 2(u + 6) (-9 * -2 + 7u * -2) + 8u = 2(u + 6) (18 + -14u) + 8u = 2(u + 6) Combine like terms: -14u + 8u = -6u 18 + -6u = 2(u + 6) Reorder the terms: 18 + -6u = 2(6 + u) 18 + -6u = (6 * 2 + u * 2) 18 + -6u = (12 + 2u) Solving 18 + -6u = 12 + 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. 18 + -6u + -2u = 12 + 2u + -2u Combine like terms: -6u + -2u = -8u 18 + -8u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 18 + -8u = 12 + 0 18 + -8u = 12 Add '-18' to each side of the equation. 18 + -18 + -8u = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -8u = 12 + -18 -8u = 12 + -18 Combine like terms: 12 + -18 = -6 -8u = -6 Divide each side by '-8'. u = 0.75 Simplifying u = 0.75
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