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