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Simplifying 3 + 4k = -1k + -2 Reorder the terms: 3 + 4k = -2 + -1k Solving 3 + 4k = -2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 3 + 4k + k = -2 + -1k + k Combine like terms: 4k + k = 5k 3 + 5k = -2 + -1k + k Combine like terms: -1k + k = 0 3 + 5k = -2 + 0 3 + 5k = -2 Add '-3' to each side of the equation. 3 + -3 + 5k = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 5k = -2 + -3 5k = -2 + -3 Combine like terms: -2 + -3 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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