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Simplifying 4 + 5k = 9 + 6k Solving 4 + 5k = 9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 4 + 5k + -6k = 9 + 6k + -6k Combine like terms: 5k + -6k = -1k 4 + -1k = 9 + 6k + -6k Combine like terms: 6k + -6k = 0 4 + -1k = 9 + 0 4 + -1k = 9 Add '-4' to each side of the equation. 4 + -4 + -1k = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 9 + -4 -1k = 9 + -4 Combine like terms: 9 + -4 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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