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Simplifying -8k = -1k + -2(7k + -7) Reorder the terms: -8k = -1k + -2(-7 + 7k) -8k = -1k + (-7 * -2 + 7k * -2) -8k = -1k + (14 + -14k) Reorder the terms: -8k = 14 + -1k + -14k Combine like terms: -1k + -14k = -15k -8k = 14 + -15k Solving -8k = 14 + -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. -8k + 15k = 14 + -15k + 15k Combine like terms: -8k + 15k = 7k 7k = 14 + -15k + 15k Combine like terms: -15k + 15k = 0 7k = 14 + 0 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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