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Simplifying -3 + 6(6k + -3) = 8 + 7k Reorder the terms: -3 + 6(-3 + 6k) = 8 + 7k -3 + (-3 * 6 + 6k * 6) = 8 + 7k -3 + (-18 + 36k) = 8 + 7k Combine like terms: -3 + -18 = -21 -21 + 36k = 8 + 7k Solving -21 + 36k = 8 + 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. -21 + 36k + -7k = 8 + 7k + -7k Combine like terms: 36k + -7k = 29k -21 + 29k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -21 + 29k = 8 + 0 -21 + 29k = 8 Add '21' to each side of the equation. -21 + 21 + 29k = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 29k = 8 + 21 29k = 8 + 21 Combine like terms: 8 + 21 = 29 29k = 29 Divide each side by '29'. k = 1 Simplifying k = 1
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