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Simplifying 8 + 3k = 8(1 + -7k) + -3k 8 + 3k = (1 * 8 + -7k * 8) + -3k 8 + 3k = (8 + -56k) + -3k Combine like terms: -56k + -3k = -59k 8 + 3k = 8 + -59k Add '-8' to each side of the equation. 8 + -8 + 3k = 8 + -8 + -59k Combine like terms: 8 + -8 = 0 0 + 3k = 8 + -8 + -59k 3k = 8 + -8 + -59k Combine like terms: 8 + -8 = 0 3k = 0 + -59k 3k = -59k Solving 3k = -59k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '59k' to each side of the equation. 3k + 59k = -59k + 59k Combine like terms: 3k + 59k = 62k 62k = -59k + 59k Combine like terms: -59k + 59k = 0 62k = 0 Divide each side by '62'. k = 0 Simplifying k = 0
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