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Simplifying 3 + -9k + -7 = -2 + -5k + -3k Reorder the terms: 3 + -7 + -9k = -2 + -5k + -3k Combine like terms: 3 + -7 = -4 -4 + -9k = -2 + -5k + -3k Combine like terms: -5k + -3k = -8k -4 + -9k = -2 + -8k Solving -4 + -9k = -2 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -4 + -9k + 8k = -2 + -8k + 8k Combine like terms: -9k + 8k = -1k -4 + -1k = -2 + -8k + 8k Combine like terms: -8k + 8k = 0 -4 + -1k = -2 + 0 -4 + -1k = -2 Add '4' to each side of the equation. -4 + 4 + -1k = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = -2 + 4 -1k = -2 + 4 Combine like terms: -2 + 4 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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