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Simplifying 5k + 3 + -3k = -6k Reorder the terms: 3 + 5k + -3k = -6k Combine like terms: 5k + -3k = 2k 3 + 2k = -6k Solving 3 + 2k = -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. 3 + 2k + 6k = -6k + 6k Combine like terms: 2k + 6k = 8k 3 + 8k = -6k + 6k Combine like terms: -6k + 6k = 0 3 + 8k = 0 Add '-3' to each side of the equation. 3 + -3 + 8k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8k = 0 + -3 8k = 0 + -3 Combine like terms: 0 + -3 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375
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