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Simplifying 8k + -4(6 + -7k) = 120 8k + (6 * -4 + -7k * -4) = 120 8k + (-24 + 28k) = 120 Reorder the terms: -24 + 8k + 28k = 120 Combine like terms: 8k + 28k = 36k -24 + 36k = 120 Solving -24 + 36k = 120 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 36k = 120 + 24 Combine like terms: -24 + 24 = 0 0 + 36k = 120 + 24 36k = 120 + 24 Combine like terms: 120 + 24 = 144 36k = 144 Divide each side by '36'. k = 4 Simplifying k = 4
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