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Simplifying 5k + -4 = 3k + -12 Reorder the terms: -4 + 5k = 3k + -12 Reorder the terms: -4 + 5k = -12 + 3k Solving -4 + 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. -4 + 5k + -3k = -12 + 3k + -3k Combine like terms: 5k + -3k = 2k -4 + 2k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + 2k = -12 + 0 -4 + 2k = -12 Add '4' to each side of the equation. -4 + 4 + 2k = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = -12 + 4 2k = -12 + 4 Combine like terms: -12 + 4 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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