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Simplifying 9k + 7 = 12k + 22 Reorder the terms: 7 + 9k = 12k + 22 Reorder the terms: 7 + 9k = 22 + 12k Solving 7 + 9k = 22 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 7 + 9k + -12k = 22 + 12k + -12k Combine like terms: 9k + -12k = -3k 7 + -3k = 22 + 12k + -12k Combine like terms: 12k + -12k = 0 7 + -3k = 22 + 0 7 + -3k = 22 Add '-7' to each side of the equation. 7 + -7 + -3k = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 22 + -7 -3k = 22 + -7 Combine like terms: 22 + -7 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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