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Simplifying -7 + -7k = -7(1 + 8k) -7 + -7k = (1 * -7 + 8k * -7) -7 + -7k = (-7 + -56k) Add '7' to each side of the equation. -7 + 7 + -7k = -7 + 7 + -56k Combine like terms: -7 + 7 = 0 0 + -7k = -7 + 7 + -56k -7k = -7 + 7 + -56k Combine like terms: -7 + 7 = 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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