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Simplifying 8(1 + -7k) = 8 + k (1 * 8 + -7k * 8) = 8 + k (8 + -56k) = 8 + k Add '-8' to each side of the equation. 8 + -8 + -56k = 8 + -8 + k Combine like terms: 8 + -8 = 0 0 + -56k = 8 + -8 + k -56k = 8 + -8 + k Combine like terms: 8 + -8 = 0 -56k = 0 + k -56k = k Solving -56k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -56k + -1k = k + -1k Combine like terms: -56k + -1k = -57k -57k = k + -1k Combine like terms: k + -1k = 0 -57k = 0 Divide each side by '-57'. k = 0 Simplifying k = 0
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