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Simplifying -3k + 7(8k + 1) = 7 + 7k Reorder the terms: -3k + 7(1 + 8k) = 7 + 7k -3k + (1 * 7 + 8k * 7) = 7 + 7k -3k + (7 + 56k) = 7 + 7k Reorder the terms: 7 + -3k + 56k = 7 + 7k Combine like terms: -3k + 56k = 53k 7 + 53k = 7 + 7k Add '-7' to each side of the equation. 7 + -7 + 53k = 7 + -7 + 7k Combine like terms: 7 + -7 = 0 0 + 53k = 7 + -7 + 7k 53k = 7 + -7 + 7k Combine like terms: 7 + -7 = 0 53k = 0 + 7k 53k = 7k Solving 53k = 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. 53k + -7k = 7k + -7k Combine like terms: 53k + -7k = 46k 46k = 7k + -7k Combine like terms: 7k + -7k = 0 46k = 0 Divide each side by '46'. k = 0 Simplifying k = 0
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