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Simplifying 6(k + 8) + 7k = -8 Reorder the terms: 6(8 + k) + 7k = -8 (8 * 6 + k * 6) + 7k = -8 (48 + 6k) + 7k = -8 Combine like terms: 6k + 7k = 13k 48 + 13k = -8 Solving 48 + 13k = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 13k = -8 + -48 Combine like terms: 48 + -48 = 0 0 + 13k = -8 + -48 13k = -8 + -48 Combine like terms: -8 + -48 = -56 13k = -56 Divide each side by '13'. k = -4.307692308 Simplifying k = -4.307692308
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