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Simplifying (6k + 10) + 8(6k + 8) = 0 Reorder the terms: (10 + 6k) + 8(6k + 8) = 0 Remove parenthesis around (10 + 6k) 10 + 6k + 8(6k + 8) = 0 Reorder the terms: 10 + 6k + 8(8 + 6k) = 0 10 + 6k + (8 * 8 + 6k * 8) = 0 10 + 6k + (64 + 48k) = 0 Reorder the terms: 10 + 64 + 6k + 48k = 0 Combine like terms: 10 + 64 = 74 74 + 6k + 48k = 0 Combine like terms: 6k + 48k = 54k 74 + 54k = 0 Solving 74 + 54k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 54k = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 54k = 0 + -74 54k = 0 + -74 Combine like terms: 0 + -74 = -74 54k = -74 Divide each side by '54'. k = -1.37037037 Simplifying k = -1.37037037
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