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Simplifying 12 + -6k = 8(2 + -7k) + -4 12 + -6k = (2 * 8 + -7k * 8) + -4 12 + -6k = (16 + -56k) + -4 Reorder the terms: 12 + -6k = 16 + -4 + -56k Combine like terms: 16 + -4 = 12 12 + -6k = 12 + -56k Add '-12' to each side of the equation. 12 + -12 + -6k = 12 + -12 + -56k Combine like terms: 12 + -12 = 0 0 + -6k = 12 + -12 + -56k -6k = 12 + -12 + -56k Combine like terms: 12 + -12 = 0 -6k = 0 + -56k -6k = -56k Solving -6k = -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. -6k + 56k = -56k + 56k Combine like terms: -6k + 56k = 50k 50k = -56k + 56k Combine like terms: -56k + 56k = 0 50k = 0 Divide each side by '50'. k = 0.0 Simplifying k = 0.0
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