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