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Simplifying -7(12 + -1k) = 0.7k (12 * -7 + -1k * -7) = 0.7k (-84 + 7k) = 0.7k Solving -84 + 7k = 0.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.7k' to each side of the equation. -84 + 7k + -0.7k = 0.7k + -0.7k Combine like terms: 7k + -0.7k = 6.3k -84 + 6.3k = 0.7k + -0.7k Combine like terms: 0.7k + -0.7k = 0.0 -84 + 6.3k = 0.0 Add '84' to each side of the equation. -84 + 84 + 6.3k = 0.0 + 84 Combine like terms: -84 + 84 = 0 0 + 6.3k = 0.0 + 84 6.3k = 0.0 + 84 Combine like terms: 0.0 + 84 = 84 6.3k = 84 Divide each side by '6.3'. k = 13.33333333 Simplifying k = 13.33333333
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