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Simplifying -9k + 2 = -10k + 7 Reorder the terms: 2 + -9k = -10k + 7 Reorder the terms: 2 + -9k = 7 + -10k Solving 2 + -9k = 7 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 2 + -9k + 10k = 7 + -10k + 10k Combine like terms: -9k + 10k = 1k 2 + 1k = 7 + -10k + 10k Combine like terms: -10k + 10k = 0 2 + 1k = 7 + 0 2 + 1k = 7 Add '-2' to each side of the equation. 2 + -2 + 1k = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 7 + -2 1k = 7 + -2 Combine like terms: 7 + -2 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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