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Simplifying -7(k + -1) + -1(7 + 7k) = -15k Reorder the terms: -7(-1 + k) + -1(7 + 7k) = -15k (-1 * -7 + k * -7) + -1(7 + 7k) = -15k (7 + -7k) + -1(7 + 7k) = -15k 7 + -7k + (7 * -1 + 7k * -1) = -15k 7 + -7k + (-7 + -7k) = -15k Reorder the terms: 7 + -7 + -7k + -7k = -15k Combine like terms: 7 + -7 = 0 0 + -7k + -7k = -15k -7k + -7k = -15k Combine like terms: -7k + -7k = -14k -14k = -15k Solving -14k = -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -14k + 15k = -15k + 15k Combine like terms: -14k + 15k = 1k 1k = -15k + 15k Combine like terms: -15k + 15k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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