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Simplifying 97 = k + 89 Reorder the terms: 97 = 89 + k Solving 97 = 89 + 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. 97 + -1k = 89 + k + -1k Combine like terms: k + -1k = 0 97 + -1k = 89 + 0 97 + -1k = 89 Add '-97' to each side of the equation. 97 + -97 + -1k = 89 + -97 Combine like terms: 97 + -97 = 0 0 + -1k = 89 + -97 -1k = 89 + -97 Combine like terms: 89 + -97 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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