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Simplifying 14 + -6k = 8(8 + -7k) 14 + -6k = (8 * 8 + -7k * 8) 14 + -6k = (64 + -56k) Solving 14 + -6k = 64 + -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. 14 + -6k + 56k = 64 + -56k + 56k Combine like terms: -6k + 56k = 50k 14 + 50k = 64 + -56k + 56k Combine like terms: -56k + 56k = 0 14 + 50k = 64 + 0 14 + 50k = 64 Add '-14' to each side of the equation. 14 + -14 + 50k = 64 + -14 Combine like terms: 14 + -14 = 0 0 + 50k = 64 + -14 50k = 64 + -14 Combine like terms: 64 + -14 = 50 50k = 50 Divide each side by '50'. k = 1 Simplifying k = 1
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