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Simplifying 3 + -6k = 2k + -1 Reorder the terms: 3 + -6k = -1 + 2k Solving 3 + -6k = -1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 3 + -6k + -2k = -1 + 2k + -2k Combine like terms: -6k + -2k = -8k 3 + -8k = -1 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + -8k = -1 + 0 3 + -8k = -1 Add '-3' to each side of the equation. 3 + -3 + -8k = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -8k = -1 + -3 -8k = -1 + -3 Combine like terms: -1 + -3 = -4 -8k = -4 Divide each side by '-8'. k = 0.5 Simplifying k = 0.5
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