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Simplifying 2u + -34 = -2(u + 1) Reorder the terms: -34 + 2u = -2(u + 1) Reorder the terms: -34 + 2u = -2(1 + u) -34 + 2u = (1 * -2 + u * -2) -34 + 2u = (-2 + -2u) Solving -34 + 2u = -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. -34 + 2u + 2u = -2 + -2u + 2u Combine like terms: 2u + 2u = 4u -34 + 4u = -2 + -2u + 2u Combine like terms: -2u + 2u = 0 -34 + 4u = -2 + 0 -34 + 4u = -2 Add '34' to each side of the equation. -34 + 34 + 4u = -2 + 34 Combine like terms: -34 + 34 = 0 0 + 4u = -2 + 34 4u = -2 + 34 Combine like terms: -2 + 34 = 32 4u = 32 Divide each side by '4'. u = 8 Simplifying u = 8
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