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Simplifying 4 = 5k + 9 Reorder the terms: 4 = 9 + 5k Solving 4 = 9 + 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 = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 4 + -5k = 9 + 0 4 + -5k = 9 Add '-4' to each side of the equation. 4 + -4 + -5k = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = 9 + -4 -5k = 9 + -4 Combine like terms: 9 + -4 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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