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Simplifying 55x + 36k = 5(11x + 6k) Reorder the terms: 36k + 55x = 5(11x + 6k) Reorder the terms: 36k + 55x = 5(6k + 11x) 36k + 55x = (6k * 5 + 11x * 5) 36k + 55x = (30k + 55x) Add '-55x' to each side of the equation. 36k + 55x + -55x = 30k + 55x + -55x Combine like terms: 55x + -55x = 0 36k + 0 = 30k + 55x + -55x 36k = 30k + 55x + -55x Combine like terms: 55x + -55x = 0 36k = 30k + 0 36k = 30k Solving 36k = 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 36k + -30k = 30k + -30k Combine like terms: 36k + -30k = 6k 6k = 30k + -30k Combine like terms: 30k + -30k = 0 6k = 0 Divide each side by '6'. k = 0 Simplifying k = 0
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