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Simplifying 9k + -5 = 7 + -4k Reorder the terms: -5 + 9k = 7 + -4k Solving -5 + 9k = 7 + -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. -5 + 9k + 4k = 7 + -4k + 4k Combine like terms: 9k + 4k = 13k -5 + 13k = 7 + -4k + 4k Combine like terms: -4k + 4k = 0 -5 + 13k = 7 + 0 -5 + 13k = 7 Add '5' to each side of the equation. -5 + 5 + 13k = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 13k = 7 + 5 13k = 7 + 5 Combine like terms: 7 + 5 = 12 13k = 12 Divide each side by '13'. k = 0.9230769231 Simplifying k = 0.9230769231
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