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Simplifying 5(1 + 7k) + 8k = 5 (1 * 5 + 7k * 5) + 8k = 5 (5 + 35k) + 8k = 5 Combine like terms: 35k + 8k = 43k 5 + 43k = 5 Add '-5' to each side of the equation. 5 + -5 + 43k = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 43k = 5 + -5 43k = 5 + -5 Combine like terms: 5 + -5 = 0 43k = 0 Solving 43k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '43'. k = 0 Simplifying k = 0
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