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Simplifying -6(u + 5) = 2u + 34 Reorder the terms: -6(5 + u) = 2u + 34 (5 * -6 + u * -6) = 2u + 34 (-30 + -6u) = 2u + 34 Reorder the terms: -30 + -6u = 34 + 2u Solving -30 + -6u = 34 + 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. -30 + -6u + -2u = 34 + 2u + -2u Combine like terms: -6u + -2u = -8u -30 + -8u = 34 + 2u + -2u Combine like terms: 2u + -2u = 0 -30 + -8u = 34 + 0 -30 + -8u = 34 Add '30' to each side of the equation. -30 + 30 + -8u = 34 + 30 Combine like terms: -30 + 30 = 0 0 + -8u = 34 + 30 -8u = 34 + 30 Combine like terms: 34 + 30 = 64 -8u = 64 Divide each side by '-8'. u = -8 Simplifying u = -8
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