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Simplifying 2k + -3 = 5k + 12 Reorder the terms: -3 + 2k = 5k + 12 Reorder the terms: -3 + 2k = 12 + 5k Solving -3 + 2k = 12 + 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. -3 + 2k + -5k = 12 + 5k + -5k Combine like terms: 2k + -5k = -3k -3 + -3k = 12 + 5k + -5k Combine like terms: 5k + -5k = 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 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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