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Simplifying -2 + -7k = -1k + 20 Reorder the terms: -2 + -7k = 20 + -1k Solving -2 + -7k = 20 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -2 + -7k + k = 20 + -1k + k Combine like terms: -7k + k = -6k -2 + -6k = 20 + -1k + k Combine like terms: -1k + k = 0 -2 + -6k = 20 + 0 -2 + -6k = 20 Add '2' to each side of the equation. -2 + 2 + -6k = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -6k = 20 + 2 -6k = 20 + 2 Combine like terms: 20 + 2 = 22 -6k = 22 Divide each side by '-6'. k = -3.666666667 Simplifying k = -3.666666667
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