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