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Simplifying -4k + -1(3 + -7k) = 15 -4k + (3 * -1 + -7k * -1) = 15 -4k + (-3 + 7k) = 15 Reorder the terms: -3 + -4k + 7k = 15 Combine like terms: -4k + 7k = 3k -3 + 3k = 15 Solving -3 + 3k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3k = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 15 + 3 3k = 15 + 3 Combine like terms: 15 + 3 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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