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Simplifying -6(2 + -8k) + 7k = -397 (2 * -6 + -8k * -6) + 7k = -397 (-12 + 48k) + 7k = -397 Combine like terms: 48k + 7k = 55k -12 + 55k = -397 Solving -12 + 55k = -397 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 55k = -397 + 12 Combine like terms: -12 + 12 = 0 0 + 55k = -397 + 12 55k = -397 + 12 Combine like terms: -397 + 12 = -385 55k = -385 Divide each side by '55'. k = -7 Simplifying k = -7
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