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Simplifying 3k + 9 = 5k + 25 Reorder the terms: 9 + 3k = 5k + 25 Reorder the terms: 9 + 3k = 25 + 5k Solving 9 + 3k = 25 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + 3k + -5k = 25 + 5k + -5k Combine like terms: 3k + -5k = -2k 9 + -2k = 25 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + -2k = 25 + 0 9 + -2k = 25 Add '-9' to each side of the equation. 9 + -9 + -2k = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = 25 + -9 -2k = 25 + -9 Combine like terms: 25 + -9 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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