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Simplifying 5(1 + 4k) = -34 + 7k (1 * 5 + 4k * 5) = -34 + 7k (5 + 20k) = -34 + 7k Solving 5 + 20k = -34 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 5 + 20k + -7k = -34 + 7k + -7k Combine like terms: 20k + -7k = 13k 5 + 13k = -34 + 7k + -7k Combine like terms: 7k + -7k = 0 5 + 13k = -34 + 0 5 + 13k = -34 Add '-5' to each side of the equation. 5 + -5 + 13k = -34 + -5 Combine like terms: 5 + -5 = 0 0 + 13k = -34 + -5 13k = -34 + -5 Combine like terms: -34 + -5 = -39 13k = -39 Divide each side by '13'. k = -3 Simplifying k = -3
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