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Simplifying 13k + -6 = 9k + 2 Reorder the terms: -6 + 13k = 9k + 2 Reorder the terms: -6 + 13k = 2 + 9k Solving -6 + 13k = 2 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -6 + 13k + -9k = 2 + 9k + -9k Combine like terms: 13k + -9k = 4k -6 + 4k = 2 + 9k + -9k Combine like terms: 9k + -9k = 0 -6 + 4k = 2 + 0 -6 + 4k = 2 Add '6' to each side of the equation. -6 + 6 + 4k = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = 2 + 6 4k = 2 + 6 Combine like terms: 2 + 6 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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