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Simplifying 12 + -4k = 2k + -6 Reorder the terms: 12 + -4k = -6 + 2k Solving 12 + -4k = -6 + 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 = -6 + 2k + -2k Combine like terms: -4k + -2k = -6k 12 + -6k = -6 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -6k = -6 + 0 12 + -6k = -6 Add '-12' to each side of the equation. 12 + -12 + -6k = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = -6 + -12 -6k = -6 + -12 Combine like terms: -6 + -12 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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