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Simplifying 6k + 2 = k + -3 Reorder the terms: 2 + 6k = k + -3 Reorder the terms: 2 + 6k = -3 + k Solving 2 + 6k = -3 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + 6k + -1k = -3 + k + -1k Combine like terms: 6k + -1k = 5k 2 + 5k = -3 + k + -1k Combine like terms: k + -1k = 0 2 + 5k = -3 + 0 2 + 5k = -3 Add '-2' to each side of the equation. 2 + -2 + 5k = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = -3 + -2 5k = -3 + -2 Combine like terms: -3 + -2 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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