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Simplifying 5u + 34 = -2(1 + -7u) Reorder the terms: 34 + 5u = -2(1 + -7u) 34 + 5u = (1 * -2 + -7u * -2) 34 + 5u = (-2 + 14u) Solving 34 + 5u = -2 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. 34 + 5u + -14u = -2 + 14u + -14u Combine like terms: 5u + -14u = -9u 34 + -9u = -2 + 14u + -14u Combine like terms: 14u + -14u = 0 34 + -9u = -2 + 0 34 + -9u = -2 Add '-34' to each side of the equation. 34 + -34 + -9u = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9u = -2 + -34 -9u = -2 + -34 Combine like terms: -2 + -34 = -36 -9u = -36 Divide each side by '-9'. u = 4 Simplifying u = 4
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