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Simplifying -12 + -3k + 2 = 2k + -10 + -1k Reorder the terms: -12 + 2 + -3k = 2k + -10 + -1k Combine like terms: -12 + 2 = -10 -10 + -3k = 2k + -10 + -1k Reorder the terms: -10 + -3k = -10 + 2k + -1k Combine like terms: 2k + -1k = 1k -10 + -3k = -10 + 1k Add '10' to each side of the equation. -10 + 10 + -3k = -10 + 10 + 1k Combine like terms: -10 + 10 = 0 0 + -3k = -10 + 10 + 1k -3k = -10 + 10 + 1k Combine like terms: -10 + 10 = 0 -3k = 0 + 1k -3k = 1k Solving -3k = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3k + -1k = 1k + -1k Combine like terms: -3k + -1k = -4k -4k = 1k + -1k Combine like terms: 1k + -1k = 0 -4k = 0 Divide each side by '-4'. k = 0 Simplifying k = 0
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