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Simplifying 5k + 3 = 2k + 12 Reorder the terms: 3 + 5k = 2k + 12 Reorder the terms: 3 + 5k = 12 + 2k Solving 3 + 5k = 12 + 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. 3 + 5k + -2k = 12 + 2k + -2k Combine like terms: 5k + -2k = 3k 3 + 3k = 12 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 3k = 12 + 0 3 + 3k = 12 Add '-3' to each side of the equation. 3 + -3 + 3k = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3k = 12 + -3 3k = 12 + -3 Combine like terms: 12 + -3 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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