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Simplifying 6(u + -7) + -8u = -34 Reorder the terms: 6(-7 + u) + -8u = -34 (-7 * 6 + u * 6) + -8u = -34 (-42 + 6u) + -8u = -34 Combine like terms: 6u + -8u = -2u -42 + -2u = -34 Solving -42 + -2u = -34 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -2u = -34 + 42 Combine like terms: -42 + 42 = 0 0 + -2u = -34 + 42 -2u = -34 + 42 Combine like terms: -34 + 42 = 8 -2u = 8 Divide each side by '-2'. u = -4 Simplifying u = -4
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