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Simplifying ku + 2(u + 5) = 34 Reorder the terms: ku + 2(5 + u) = 34 ku + (5 * 2 + u * 2) = 34 ku + (10 + 2u) = 34 Reorder the terms: 10 + ku + 2u = 34 Solving 10 + ku + 2u = 34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + ku + -10 + 2u = 34 + -10 Reorder the terms: 10 + -10 + ku + 2u = 34 + -10 Combine like terms: 10 + -10 = 0 0 + ku + 2u = 34 + -10 ku + 2u = 34 + -10 Combine like terms: 34 + -10 = 24 ku + 2u = 24 Add '-2u' to each side of the equation. ku + 2u + -2u = 24 + -2u Combine like terms: 2u + -2u = 0 ku + 0 = 24 + -2u ku = 24 + -2u Divide each side by 'u'. k = 24u-1 + -2 Simplifying k = 24u-1 + -2 Reorder the terms: k = -2 + 24u-1
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