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Simplifying 15 + 23 = k + 30 Combine like terms: 15 + 23 = 38 38 = k + 30 Reorder the terms: 38 = 30 + k Solving 38 = 30 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 38 + -1k = 30 + k + -1k Combine like terms: k + -1k = 0 38 + -1k = 30 + 0 38 + -1k = 30 Add '-38' to each side of the equation. 38 + -38 + -1k = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -1k = 30 + -38 -1k = 30 + -38 Combine like terms: 30 + -38 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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