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Simplifying -34 = 6(u + -8) + -4u Reorder the terms: -34 = 6(-8 + u) + -4u -34 = (-8 * 6 + u * 6) + -4u -34 = (-48 + 6u) + -4u Combine like terms: 6u + -4u = 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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