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Simplifying 6k + 7(k + 1) = -97 Reorder the terms: 6k + 7(1 + k) = -97 6k + (1 * 7 + k * 7) = -97 6k + (7 + 7k) = -97 Reorder the terms: 7 + 6k + 7k = -97 Combine like terms: 6k + 7k = 13k 7 + 13k = -97 Solving 7 + 13k = -97 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13k = -97 + -7 Combine like terms: 7 + -7 = 0 0 + 13k = -97 + -7 13k = -97 + -7 Combine like terms: -97 + -7 = -104 13k = -104 Divide each side by '13'. k = -8 Simplifying k = -8
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