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Simplifying 4k + 12 = -2k + -5 Reorder the terms: 12 + 4k = -2k + -5 Reorder the terms: 12 + 4k = -5 + -2k Solving 12 + 4k = -5 + -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. 12 + 4k + 2k = -5 + -2k + 2k Combine like terms: 4k + 2k = 6k 12 + 6k = -5 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 6k = -5 + 0 12 + 6k = -5 Add '-12' to each side of the equation. 12 + -12 + 6k = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 6k = -5 + -12 6k = -5 + -12 Combine like terms: -5 + -12 = -17 6k = -17 Divide each side by '6'. k = -2.833333333 Simplifying k = -2.833333333
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