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Simplifying k + 20 = -4k + -5 Reorder the terms: 20 + k = -4k + -5 Reorder the terms: 20 + k = -5 + -4k Solving 20 + k = -5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 20 + k + 4k = -5 + -4k + 4k Combine like terms: k + 4k = 5k 20 + 5k = -5 + -4k + 4k Combine like terms: -4k + 4k = 0 20 + 5k = -5 + 0 20 + 5k = -5 Add '-20' to each side of the equation. 20 + -20 + 5k = -5 + -20 Combine like terms: 20 + -20 = 0 0 + 5k = -5 + -20 5k = -5 + -20 Combine like terms: -5 + -20 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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