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Simplifying 9 + -5k = 12 + -6k + 7 Reorder the terms: 9 + -5k = 12 + 7 + -6k Combine like terms: 12 + 7 = 19 9 + -5k = 19 + -6k Solving 9 + -5k = 19 + -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. 9 + -5k + 6k = 19 + -6k + 6k Combine like terms: -5k + 6k = 1k 9 + 1k = 19 + -6k + 6k Combine like terms: -6k + 6k = 0 9 + 1k = 19 + 0 9 + 1k = 19 Add '-9' to each side of the equation. 9 + -9 + 1k = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 1k = 19 + -9 1k = 19 + -9 Combine like terms: 19 + -9 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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