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Simplifying 2k + 6 = 7 + -3k Reorder the terms: 6 + 2k = 7 + -3k Solving 6 + 2k = 7 + -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. 6 + 2k + 3k = 7 + -3k + 3k Combine like terms: 2k + 3k = 5k 6 + 5k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 6 + 5k = 7 + 0 6 + 5k = 7 Add '-6' to each side of the equation. 6 + -6 + 5k = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = 7 + -6 5k = 7 + -6 Combine like terms: 7 + -6 = 1 5k = 1 Divide each side by '5'. k = 0.2 Simplifying k = 0.2
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