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Simplifying 34 = 4(u + 7) + -6u Reorder the terms: 34 = 4(7 + u) + -6u 34 = (7 * 4 + u * 4) + -6u 34 = (28 + 4u) + -6u Combine like terms: 4u + -6u = -2u 34 = 28 + -2u Solving 34 = 28 + -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 = 28 + -2u + 2u Combine like terms: -2u + 2u = 0 34 + 2u = 28 + 0 34 + 2u = 28 Add '-34' to each side of the equation. 34 + -34 + 2u = 28 + -34 Combine like terms: 34 + -34 = 0 0 + 2u = 28 + -34 2u = 28 + -34 Combine like terms: 28 + -34 = -6 2u = -6 Divide each side by '2'. u = -3 Simplifying u = -3
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