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Simplifying -9 + 9k = -10k + 10 Reorder the terms: -9 + 9k = 10 + -10k Solving -9 + 9k = 10 + -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. -9 + 9k + 10k = 10 + -10k + 10k Combine like terms: 9k + 10k = 19k -9 + 19k = 10 + -10k + 10k Combine like terms: -10k + 10k = 0 -9 + 19k = 10 + 0 -9 + 19k = 10 Add '9' to each side of the equation. -9 + 9 + 19k = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 19k = 10 + 9 19k = 10 + 9 Combine like terms: 10 + 9 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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