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Simplifying -1k + -6 + -7k + 29 = -2 Reorder the terms: -6 + 29 + -1k + -7k = -2 Combine like terms: -6 + 29 = 23 23 + -1k + -7k = -2 Combine like terms: -1k + -7k = -8k 23 + -8k = -2 Solving 23 + -8k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -8k = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -8k = -2 + -23 -8k = -2 + -23 Combine like terms: -2 + -23 = -25 -8k = -25 Divide each side by '-8'. k = 3.125 Simplifying k = 3.125
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