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Simplifying 7k + -1(6k + -5) = 7 Reorder the terms: 7k + -1(-5 + 6k) = 7 7k + (-5 * -1 + 6k * -1) = 7 7k + (5 + -6k) = 7 Reorder the terms: 5 + 7k + -6k = 7 Combine like terms: 7k + -6k = 1k 5 + 1k = 7 Solving 5 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1k = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = 7 + -5 1k = 7 + -5 Combine like terms: 7 + -5 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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