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Simplifying -34 = 6(u + -8) + -8u Reorder the terms: -34 = 6(-8 + u) + -8u -34 = (-8 * 6 + u * 6) + -8u -34 = (-48 + 6u) + -8u Combine like terms: 6u + -8u = -2u -34 = -48 + -2u Solving -34 = -48 + -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 = -48 + -2u + 2u Combine like terms: -2u + 2u = 0 -34 + 2u = -48 + 0 -34 + 2u = -48 Add '34' to each side of the equation. -34 + 34 + 2u = -48 + 34 Combine like terms: -34 + 34 = 0 0 + 2u = -48 + 34 2u = -48 + 34 Combine like terms: -48 + 34 = -14 2u = -14 Divide each side by '2'. u = -7 Simplifying u = -7
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