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Simplifying -8(u + 1) = 5u + -34 Reorder the terms: -8(1 + u) = 5u + -34 (1 * -8 + u * -8) = 5u + -34 (-8 + -8u) = 5u + -34 Reorder the terms: -8 + -8u = -34 + 5u Solving -8 + -8u = -34 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -8 + -8u + -5u = -34 + 5u + -5u Combine like terms: -8u + -5u = -13u -8 + -13u = -34 + 5u + -5u Combine like terms: 5u + -5u = 0 -8 + -13u = -34 + 0 -8 + -13u = -34 Add '8' to each side of the equation. -8 + 8 + -13u = -34 + 8 Combine like terms: -8 + 8 = 0 0 + -13u = -34 + 8 -13u = -34 + 8 Combine like terms: -34 + 8 = -26 -13u = -26 Divide each side by '-13'. u = 2 Simplifying u = 2
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