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Simplifying -12 + 3k = 18 + -2k Solving -12 + 3k = 18 + -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 + 3k + 2k = 18 + -2k + 2k Combine like terms: 3k + 2k = 5k -12 + 5k = 18 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + 5k = 18 + 0 -12 + 5k = 18 Add '12' to each side of the equation. -12 + 12 + 5k = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = 18 + 12 5k = 18 + 12 Combine like terms: 18 + 12 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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