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Simplifying -21 + 7k = -7(8k + 3) Reorder the terms: -21 + 7k = -7(3 + 8k) -21 + 7k = (3 * -7 + 8k * -7) -21 + 7k = (-21 + -56k) Add '21' to each side of the equation. -21 + 21 + 7k = -21 + 21 + -56k Combine like terms: -21 + 21 = 0 0 + 7k = -21 + 21 + -56k 7k = -21 + 21 + -56k Combine like terms: -21 + 21 = 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 = 63k 63k = -56k + 56k Combine like terms: -56k + 56k = 0 63k = 0 Divide each side by '63'. k = 0 Simplifying k = 0
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