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Simplifying -4(-1 + 6k) = 38 + -7k (-1 * -4 + 6k * -4) = 38 + -7k (4 + -24k) = 38 + -7k Solving 4 + -24k = 38 + -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. 4 + -24k + 7k = 38 + -7k + 7k Combine like terms: -24k + 7k = -17k 4 + -17k = 38 + -7k + 7k Combine like terms: -7k + 7k = 0 4 + -17k = 38 + 0 4 + -17k = 38 Add '-4' to each side of the equation. 4 + -4 + -17k = 38 + -4 Combine like terms: 4 + -4 = 0 0 + -17k = 38 + -4 -17k = 38 + -4 Combine like terms: 38 + -4 = 34 -17k = 34 Divide each side by '-17'. k = -2 Simplifying k = -2
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