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Simplifying 5k + 2 = 9k + 6 Reorder the terms: 2 + 5k = 9k + 6 Reorder the terms: 2 + 5k = 6 + 9k Solving 2 + 5k = 6 + 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. 2 + 5k + -9k = 6 + 9k + -9k Combine like terms: 5k + -9k = -4k 2 + -4k = 6 + 9k + -9k Combine like terms: 9k + -9k = 0 2 + -4k = 6 + 0 2 + -4k = 6 Add '-2' to each side of the equation. 2 + -2 + -4k = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4k = 6 + -2 -4k = 6 + -2 Combine like terms: 6 + -2 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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