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Simplifying 2u + -6 + 2(5u + 7) = -2(u + 1) Reorder the terms: 2u + -6 + 2(7 + 5u) = -2(u + 1) 2u + -6 + (7 * 2 + 5u * 2) = -2(u + 1) 2u + -6 + (14 + 10u) = -2(u + 1) Reorder the terms: -6 + 14 + 2u + 10u = -2(u + 1) Combine like terms: -6 + 14 = 8 8 + 2u + 10u = -2(u + 1) Combine like terms: 2u + 10u = 12u 8 + 12u = -2(u + 1) Reorder the terms: 8 + 12u = -2(1 + u) 8 + 12u = (1 * -2 + u * -2) 8 + 12u = (-2 + -2u) Solving 8 + 12u = -2 + -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. 8 + 12u + 2u = -2 + -2u + 2u Combine like terms: 12u + 2u = 14u 8 + 14u = -2 + -2u + 2u Combine like terms: -2u + 2u = 0 8 + 14u = -2 + 0 8 + 14u = -2 Add '-8' to each side of the equation. 8 + -8 + 14u = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 14u = -2 + -8 14u = -2 + -8 Combine like terms: -2 + -8 = -10 14u = -10 Divide each side by '14'. u = -0.7142857143 Simplifying u = -0.7142857143
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