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Simplifying 18 + -3k = 38 + 2k Solving 18 + -3k = 38 + 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. 18 + -3k + -2k = 38 + 2k + -2k Combine like terms: -3k + -2k = -5k 18 + -5k = 38 + 2k + -2k Combine like terms: 2k + -2k = 0 18 + -5k = 38 + 0 18 + -5k = 38 Add '-18' to each side of the equation. 18 + -18 + -5k = 38 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 38 + -18 -5k = 38 + -18 Combine like terms: 38 + -18 = 20 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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