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Simplifying -6(-7k + 6) = 38 + 5k Reorder the terms: -6(6 + -7k) = 38 + 5k (6 * -6 + -7k * -6) = 38 + 5k (-36 + 42k) = 38 + 5k Solving -36 + 42k = 38 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -36 + 42k + -5k = 38 + 5k + -5k Combine like terms: 42k + -5k = 37k -36 + 37k = 38 + 5k + -5k Combine like terms: 5k + -5k = 0 -36 + 37k = 38 + 0 -36 + 37k = 38 Add '36' to each side of the equation. -36 + 36 + 37k = 38 + 36 Combine like terms: -36 + 36 = 0 0 + 37k = 38 + 36 37k = 38 + 36 Combine like terms: 38 + 36 = 74 37k = 74 Divide each side by '37'. k = 2 Simplifying k = 2
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