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Simplifying 85 = 5(2k + 5) Reorder the terms: 85 = 5(5 + 2k) 85 = (5 * 5 + 2k * 5) 85 = (25 + 10k) Solving 85 = 25 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 85 + -10k = 25 + 10k + -10k Combine like terms: 10k + -10k = 0 85 + -10k = 25 + 0 85 + -10k = 25 Add '-85' to each side of the equation. 85 + -85 + -10k = 25 + -85 Combine like terms: 85 + -85 = 0 0 + -10k = 25 + -85 -10k = 25 + -85 Combine like terms: 25 + -85 = -60 -10k = -60 Divide each side by '-10'. k = 6 Simplifying k = 6
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