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Simplifying 24 = 6(7k + -10) Reorder the terms: 24 = 6(-10 + 7k) 24 = (-10 * 6 + 7k * 6) 24 = (-60 + 42k) Solving 24 = -60 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 24 + -42k = -60 + 42k + -42k Combine like terms: 42k + -42k = 0 24 + -42k = -60 + 0 24 + -42k = -60 Add '-24' to each side of the equation. 24 + -24 + -42k = -60 + -24 Combine like terms: 24 + -24 = 0 0 + -42k = -60 + -24 -42k = -60 + -24 Combine like terms: -60 + -24 = -84 -42k = -84 Divide each side by '-42'. k = 2 Simplifying k = 2
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