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Simplifying -6(8 + 6k) + -8 = 30 + 7k (8 * -6 + 6k * -6) + -8 = 30 + 7k (-48 + -36k) + -8 = 30 + 7k Reorder the terms: -48 + -8 + -36k = 30 + 7k Combine like terms: -48 + -8 = -56 -56 + -36k = 30 + 7k Solving -56 + -36k = 30 + 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. -56 + -36k + -7k = 30 + 7k + -7k Combine like terms: -36k + -7k = -43k -56 + -43k = 30 + 7k + -7k Combine like terms: 7k + -7k = 0 -56 + -43k = 30 + 0 -56 + -43k = 30 Add '56' to each side of the equation. -56 + 56 + -43k = 30 + 56 Combine like terms: -56 + 56 = 0 0 + -43k = 30 + 56 -43k = 30 + 56 Combine like terms: 30 + 56 = 86 -43k = 86 Divide each side by '-43'. k = -2 Simplifying k = -2
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