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