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Simplifying -2(5u + -7) + 6u = 2(u + 3) Reorder the terms: -2(-7 + 5u) + 6u = 2(u + 3) (-7 * -2 + 5u * -2) + 6u = 2(u + 3) (14 + -10u) + 6u = 2(u + 3) Combine like terms: -10u + 6u = -4u 14 + -4u = 2(u + 3) Reorder the terms: 14 + -4u = 2(3 + u) 14 + -4u = (3 * 2 + u * 2) 14 + -4u = (6 + 2u) Solving 14 + -4u = 6 + 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. 14 + -4u + -2u = 6 + 2u + -2u Combine like terms: -4u + -2u = -6u 14 + -6u = 6 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + -6u = 6 + 0 14 + -6u = 6 Add '-14' to each side of the equation. 14 + -14 + -6u = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -6u = 6 + -14 -6u = 6 + -14 Combine like terms: 6 + -14 = -8 -6u = -8 Divide each side by '-6'. u = 1.333333333 Simplifying u = 1.333333333
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