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Simplifying 8k + -2k + 2 = 38 Reorder the terms: 2 + 8k + -2k = 38 Combine like terms: 8k + -2k = 6k 2 + 6k = 38 Solving 2 + 6k = 38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6k = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6k = 38 + -2 6k = 38 + -2 Combine like terms: 38 + -2 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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