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Simplifying -6(2u + -6) + 2u = 6(u + 5) Reorder the terms: -6(-6 + 2u) + 2u = 6(u + 5) (-6 * -6 + 2u * -6) + 2u = 6(u + 5) (36 + -12u) + 2u = 6(u + 5) Combine like terms: -12u + 2u = -10u 36 + -10u = 6(u + 5) Reorder the terms: 36 + -10u = 6(5 + u) 36 + -10u = (5 * 6 + u * 6) 36 + -10u = (30 + 6u) Solving 36 + -10u = 30 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 36 + -10u + -6u = 30 + 6u + -6u Combine like terms: -10u + -6u = -16u 36 + -16u = 30 + 6u + -6u Combine like terms: 6u + -6u = 0 36 + -16u = 30 + 0 36 + -16u = 30 Add '-36' to each side of the equation. 36 + -36 + -16u = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -16u = 30 + -36 -16u = 30 + -36 Combine like terms: 30 + -36 = -6 -16u = -6 Divide each side by '-16'. u = 0.375 Simplifying u = 0.375
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