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Simplifying -4k + -9 = 3k + 2k Reorder the terms: -9 + -4k = 3k + 2k Combine like terms: 3k + 2k = 5k -9 + -4k = 5k Solving -9 + -4k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -9 + -4k + -5k = 5k + -5k Combine like terms: -4k + -5k = -9k -9 + -9k = 5k + -5k Combine like terms: 5k + -5k = 0 -9 + -9k = 0 Add '9' to each side of the equation. -9 + 9 + -9k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9k = 0 + 9 -9k = 0 + 9 Combine like terms: 0 + 9 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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