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Simplifying 2k + 12 = -1k + -5 + -4 Reorder the terms: 12 + 2k = -1k + -5 + -4 Reorder the terms: 12 + 2k = -5 + -4 + -1k Combine like terms: -5 + -4 = -9 12 + 2k = -9 + -1k Solving 12 + 2k = -9 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 12 + 2k + k = -9 + -1k + k Combine like terms: 2k + k = 3k 12 + 3k = -9 + -1k + k Combine like terms: -1k + k = 0 12 + 3k = -9 + 0 12 + 3k = -9 Add '-12' to each side of the equation. 12 + -12 + 3k = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -9 + -12 3k = -9 + -12 Combine like terms: -9 + -12 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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