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Simplifying 38 + -1k = 5 + -2k Solving 38 + -1k = 5 + -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. 38 + -1k + 2k = 5 + -2k + 2k Combine like terms: -1k + 2k = 1k 38 + 1k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 38 + 1k = 5 + 0 38 + 1k = 5 Add '-38' to each side of the equation. 38 + -38 + 1k = 5 + -38 Combine like terms: 38 + -38 = 0 0 + 1k = 5 + -38 1k = 5 + -38 Combine like terms: 5 + -38 = -33 1k = -33 Divide each side by '1'. k = -33 Simplifying k = -33
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