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Simplifying -4(1 + 5k) + 4 = -39 + -7k (1 * -4 + 5k * -4) + 4 = -39 + -7k (-4 + -20k) + 4 = -39 + -7k Reorder the terms: -4 + 4 + -20k = -39 + -7k Combine like terms: -4 + 4 = 0 0 + -20k = -39 + -7k -20k = -39 + -7k Solving -20k = -39 + -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. -20k + 7k = -39 + -7k + 7k Combine like terms: -20k + 7k = -13k -13k = -39 + -7k + 7k Combine like terms: -7k + 7k = 0 -13k = -39 + 0 -13k = -39 Divide each side by '-13'. k = 3 Simplifying k = 3
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