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Simplifying 36 + 45 = 8k + 25 Combine like terms: 36 + 45 = 81 81 = 8k + 25 Reorder the terms: 81 = 25 + 8k Solving 81 = 25 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 81 + -8k = 25 + 8k + -8k Combine like terms: 8k + -8k = 0 81 + -8k = 25 + 0 81 + -8k = 25 Add '-81' to each side of the equation. 81 + -81 + -8k = 25 + -81 Combine like terms: 81 + -81 = 0 0 + -8k = 25 + -81 -8k = 25 + -81 Combine like terms: 25 + -81 = -56 -8k = -56 Divide each side by '-8'. k = 7 Simplifying k = 7
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