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Simplifying 6 + -1(2 + -7k) = 28 + k 6 + (2 * -1 + -7k * -1) = 28 + k 6 + (-2 + 7k) = 28 + k Combine like terms: 6 + -2 = 4 4 + 7k = 28 + k Solving 4 + 7k = 28 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4 + 7k + -1k = 28 + k + -1k Combine like terms: 7k + -1k = 6k 4 + 6k = 28 + k + -1k Combine like terms: k + -1k = 0 4 + 6k = 28 + 0 4 + 6k = 28 Add '-4' to each side of the equation. 4 + -4 + 6k = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 28 + -4 6k = 28 + -4 Combine like terms: 28 + -4 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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