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Simplifying 4(u + -6) = 2u + -34 Reorder the terms: 4(-6 + u) = 2u + -34 (-6 * 4 + u * 4) = 2u + -34 (-24 + 4u) = 2u + -34 Reorder the terms: -24 + 4u = -34 + 2u Solving -24 + 4u = -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. -24 + 4u + -2u = -34 + 2u + -2u Combine like terms: 4u + -2u = 2u -24 + 2u = -34 + 2u + -2u Combine like terms: 2u + -2u = 0 -24 + 2u = -34 + 0 -24 + 2u = -34 Add '24' to each side of the equation. -24 + 24 + 2u = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 2u = -34 + 24 2u = -34 + 24 Combine like terms: -34 + 24 = -10 2u = -10 Divide each side by '2'. u = -5 Simplifying u = -5
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