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Simplifying 10k + 9 = 13k Reorder the terms: 9 + 10k = 13k Solving 9 + 10k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 9 + 10k + -13k = 13k + -13k Combine like terms: 10k + -13k = -3k 9 + -3k = 13k + -13k Combine like terms: 13k + -13k = 0 9 + -3k = 0 Add '-9' to each side of the equation. 9 + -9 + -3k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3k = 0 + -9 -3k = 0 + -9 Combine like terms: 0 + -9 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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