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Simplifying 7(-1 + -8k) = 7k + -7 (-1 * 7 + -8k * 7) = 7k + -7 (-7 + -56k) = 7k + -7 Reorder the terms: -7 + -56k = -7 + 7k Add '7' to each side of the equation. -7 + 7 + -56k = -7 + 7 + 7k Combine like terms: -7 + 7 = 0 0 + -56k = -7 + 7 + 7k -56k = -7 + 7 + 7k Combine like terms: -7 + 7 = 0 -56k = 0 + 7k -56k = 7k Solving -56k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -56k + -7k = 7k + -7k Combine like terms: -56k + -7k = -63k -63k = 7k + -7k Combine like terms: 7k + -7k = 0 -63k = 0 Divide each side by '-63'. k = 0 Simplifying k = 0
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