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Simplifying 2(u + -1) = 5u + 1 + -2(-6u + -1) Reorder the terms: 2(-1 + u) = 5u + 1 + -2(-6u + -1) (-1 * 2 + u * 2) = 5u + 1 + -2(-6u + -1) (-2 + 2u) = 5u + 1 + -2(-6u + -1) Reorder the terms: -2 + 2u = 5u + 1 + -2(-1 + -6u) -2 + 2u = 5u + 1 + (-1 * -2 + -6u * -2) -2 + 2u = 5u + 1 + (2 + 12u) Reorder the terms: -2 + 2u = 1 + 2 + 5u + 12u Combine like terms: 1 + 2 = 3 -2 + 2u = 3 + 5u + 12u Combine like terms: 5u + 12u = 17u -2 + 2u = 3 + 17u Solving -2 + 2u = 3 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -2 + 2u + -17u = 3 + 17u + -17u Combine like terms: 2u + -17u = -15u -2 + -15u = 3 + 17u + -17u Combine like terms: 17u + -17u = 0 -2 + -15u = 3 + 0 -2 + -15u = 3 Add '2' to each side of the equation. -2 + 2 + -15u = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -15u = 3 + 2 -15u = 3 + 2 Combine like terms: 3 + 2 = 5 -15u = 5 Divide each side by '-15'. u = -0.3333333333 Simplifying u = -0.3333333333
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