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Simplifying -12 + 2k = k + -3k Combine like terms: k + -3k = -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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