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Simplifying 2k + 6 = 8k + -20 + 38 Reorder the terms: 6 + 2k = 8k + -20 + 38 Reorder the terms: 6 + 2k = -20 + 38 + 8k Combine like terms: -20 + 38 = 18 6 + 2k = 18 + 8k Solving 6 + 2k = 18 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 6 + 2k + -8k = 18 + 8k + -8k Combine like terms: 2k + -8k = -6k 6 + -6k = 18 + 8k + -8k Combine like terms: 8k + -8k = 0 6 + -6k = 18 + 0 6 + -6k = 18 Add '-6' to each side of the equation. 6 + -6 + -6k = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = 18 + -6 -6k = 18 + -6 Combine like terms: 18 + -6 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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