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Simplifying 31 = 6 + 9(k + 7) Reorder the terms: 31 = 6 + 9(7 + k) 31 = 6 + (7 * 9 + k * 9) 31 = 6 + (63 + 9k) Combine like terms: 6 + 63 = 69 31 = 69 + 9k Solving 31 = 69 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 31 + -9k = 69 + 9k + -9k Combine like terms: 9k + -9k = 0 31 + -9k = 69 + 0 31 + -9k = 69 Add '-31' to each side of the equation. 31 + -31 + -9k = 69 + -31 Combine like terms: 31 + -31 = 0 0 + -9k = 69 + -31 -9k = 69 + -31 Combine like terms: 69 + -31 = 38 -9k = 38 Divide each side by '-9'. k = -4.222222222 Simplifying k = -4.222222222
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