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Simplifying 2k + 7 = 22 + -3k Reorder the terms: 7 + 2k = 22 + -3k Solving 7 + 2k = 22 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 7 + 2k + 3k = 22 + -3k + 3k Combine like terms: 2k + 3k = 5k 7 + 5k = 22 + -3k + 3k Combine like terms: -3k + 3k = 0 7 + 5k = 22 + 0 7 + 5k = 22 Add '-7' to each side of the equation. 7 + -7 + 5k = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 5k = 22 + -7 5k = 22 + -7 Combine like terms: 22 + -7 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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