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Simplifying 39 + 7k = 6(6k + -8) Reorder the terms: 39 + 7k = 6(-8 + 6k) 39 + 7k = (-8 * 6 + 6k * 6) 39 + 7k = (-48 + 36k) Solving 39 + 7k = -48 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 39 + 7k + -36k = -48 + 36k + -36k Combine like terms: 7k + -36k = -29k 39 + -29k = -48 + 36k + -36k Combine like terms: 36k + -36k = 0 39 + -29k = -48 + 0 39 + -29k = -48 Add '-39' to each side of the equation. 39 + -39 + -29k = -48 + -39 Combine like terms: 39 + -39 = 0 0 + -29k = -48 + -39 -29k = -48 + -39 Combine like terms: -48 + -39 = -87 -29k = -87 Divide each side by '-29'. k = 3 Simplifying k = 3
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