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Simplifying 5k + -14 = 3k + -12 Reorder the terms: -14 + 5k = 3k + -12 Reorder the terms: -14 + 5k = -12 + 3k Solving -14 + 5k = -12 + 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. -14 + 5k + -3k = -12 + 3k + -3k Combine like terms: 5k + -3k = 2k -14 + 2k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 -14 + 2k = -12 + 0 -14 + 2k = -12 Add '14' to each side of the equation. -14 + 14 + 2k = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2k = -12 + 14 2k = -12 + 14 Combine like terms: -12 + 14 = 2 2k = 2 Divide each side by '2'. k = 1 Simplifying k = 1
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