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Simplifying 6(u + -8) + -8u = -34 Reorder the terms: 6(-8 + u) + -8u = -34 (-8 * 6 + u * 6) + -8u = -34 (-48 + 6u) + -8u = -34 Combine like terms: 6u + -8u = -2u -48 + -2u = -34 Solving -48 + -2u = -34 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -2u = -34 + 48 Combine like terms: -48 + 48 = 0 0 + -2u = -34 + 48 -2u = -34 + 48 Combine like terms: -34 + 48 = 14 -2u = 14 Divide each side by '-2'. u = -7 Simplifying u = -7
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