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Simplifying 3k + -2k + -5 = 12 + 10 Reorder the terms: -5 + 3k + -2k = 12 + 10 Combine like terms: 3k + -2k = 1k -5 + 1k = 12 + 10 Combine like terms: 12 + 10 = 22 -5 + 1k = 22 Solving -5 + 1k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1k = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = 22 + 5 1k = 22 + 5 Combine like terms: 22 + 5 = 27 1k = 27 Divide each side by '1'. k = 27 Simplifying k = 27
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