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Simplifying -8 + -7k = 6 + -7(2 + 8k) -8 + -7k = 6 + (2 * -7 + 8k * -7) -8 + -7k = 6 + (-14 + -56k) Combine like terms: 6 + -14 = -8 -8 + -7k = -8 + -56k Add '8' to each side of the equation. -8 + 8 + -7k = -8 + 8 + -56k Combine like terms: -8 + 8 = 0 0 + -7k = -8 + 8 + -56k -7k = -8 + 8 + -56k Combine like terms: -8 + 8 = 0 -7k = 0 + -56k -7k = -56k Solving -7k = -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. -7k + 56k = -56k + 56k Combine like terms: -7k + 56k = 49k 49k = -56k + 56k Combine like terms: -56k + 56k = 0 49k = 0 Divide each side by '49'. k = 0 Simplifying k = 0
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