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