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Simplifying -9 = 10k + -9k + -2 Reorder the terms: -9 = -2 + 10k + -9k Combine like terms: 10k + -9k = 1k -9 = -2 + 1k Solving -9 = -2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -9 + -1k = -2 + 1k + -1k Combine like terms: 1k + -1k = 0 -9 + -1k = -2 + 0 -9 + -1k = -2 Add '9' to each side of the equation. -9 + 9 + -1k = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = -2 + 9 -1k = -2 + 9 Combine like terms: -2 + 9 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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