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Simplifying -23 = k + -2 + -8k Reorder the terms: -23 = -2 + k + -8k Combine like terms: k + -8k = -7k -23 = -2 + -7k Solving -23 = -2 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -23 + 7k = -2 + -7k + 7k Combine like terms: -7k + 7k = 0 -23 + 7k = -2 + 0 -23 + 7k = -2 Add '23' to each side of the equation. -23 + 23 + 7k = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 7k = -2 + 23 7k = -2 + 23 Combine like terms: -2 + 23 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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