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Simplifying 1 + -9k = -6k + 10 Reorder the terms: 1 + -9k = 10 + -6k Solving 1 + -9k = 10 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 1 + -9k + 6k = 10 + -6k + 6k Combine like terms: -9k + 6k = -3k 1 + -3k = 10 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + -3k = 10 + 0 1 + -3k = 10 Add '-1' to each side of the equation. 1 + -1 + -3k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = 10 + -1 -3k = 10 + -1 Combine like terms: 10 + -1 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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