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Simplifying 2k + -45 = 25 + -3k Reorder the terms: -45 + 2k = 25 + -3k Solving -45 + 2k = 25 + -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. -45 + 2k + 3k = 25 + -3k + 3k Combine like terms: 2k + 3k = 5k -45 + 5k = 25 + -3k + 3k Combine like terms: -3k + 3k = 0 -45 + 5k = 25 + 0 -45 + 5k = 25 Add '45' to each side of the equation. -45 + 45 + 5k = 25 + 45 Combine like terms: -45 + 45 = 0 0 + 5k = 25 + 45 5k = 25 + 45 Combine like terms: 25 + 45 = 70 5k = 70 Divide each side by '5'. k = 14 Simplifying k = 14
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