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Simplifying -2(u + 1) = 2u + -4 + 5(2u + 2) Reorder the terms: -2(1 + u) = 2u + -4 + 5(2u + 2) (1 * -2 + u * -2) = 2u + -4 + 5(2u + 2) (-2 + -2u) = 2u + -4 + 5(2u + 2) Reorder the terms: -2 + -2u = 2u + -4 + 5(2 + 2u) -2 + -2u = 2u + -4 + (2 * 5 + 2u * 5) -2 + -2u = 2u + -4 + (10 + 10u) Reorder the terms: -2 + -2u = -4 + 10 + 2u + 10u Combine like terms: -4 + 10 = 6 -2 + -2u = 6 + 2u + 10u Combine like terms: 2u + 10u = 12u -2 + -2u = 6 + 12u Solving -2 + -2u = 6 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -2 + -2u + -12u = 6 + 12u + -12u Combine like terms: -2u + -12u = -14u -2 + -14u = 6 + 12u + -12u Combine like terms: 12u + -12u = 0 -2 + -14u = 6 + 0 -2 + -14u = 6 Add '2' to each side of the equation. -2 + 2 + -14u = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -14u = 6 + 2 -14u = 6 + 2 Combine like terms: 6 + 2 = 8 -14u = 8 Divide each side by '-14'. u = -0.5714285714 Simplifying u = -0.5714285714
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