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Simplifying 0 = 7(7 + 8k) + 3(k + 5) 0 = (7 * 7 + 8k * 7) + 3(k + 5) 0 = (49 + 56k) + 3(k + 5) Reorder the terms: 0 = 49 + 56k + 3(5 + k) 0 = 49 + 56k + (5 * 3 + k * 3) 0 = 49 + 56k + (15 + 3k) Reorder the terms: 0 = 49 + 15 + 56k + 3k Combine like terms: 49 + 15 = 64 0 = 64 + 56k + 3k Combine like terms: 56k + 3k = 59k 0 = 64 + 59k Solving 0 = 64 + 59k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-59k' to each side of the equation. 0 + -59k = 64 + 59k + -59k Remove the zero: -59k = 64 + 59k + -59k Combine like terms: 59k + -59k = 0 -59k = 64 + 0 -59k = 64 Divide each side by '-59'. k = -1.084745763 Simplifying k = -1.084745763
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