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Simplifying 12k + 15 = 35 + 2k Reorder the terms: 15 + 12k = 35 + 2k Solving 15 + 12k = 35 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 15 + 12k + -2k = 35 + 2k + -2k Combine like terms: 12k + -2k = 10k 15 + 10k = 35 + 2k + -2k Combine like terms: 2k + -2k = 0 15 + 10k = 35 + 0 15 + 10k = 35 Add '-15' to each side of the equation. 15 + -15 + 10k = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 10k = 35 + -15 10k = 35 + -15 Combine like terms: 35 + -15 = 20 10k = 20 Divide each side by '10'. k = 2 Simplifying k = 2
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