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Simplifying 7k + -3(4k + 8) = 6 Reorder the terms: 7k + -3(8 + 4k) = 6 7k + (8 * -3 + 4k * -3) = 6 7k + (-24 + -12k) = 6 Reorder the terms: -24 + 7k + -12k = 6 Combine like terms: 7k + -12k = -5k -24 + -5k = 6 Solving -24 + -5k = 6 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 + -5k = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5k = 6 + 24 -5k = 6 + 24 Combine like terms: 6 + 24 = 30 -5k = 30 Divide each side by '-5'. k = -6 Simplifying k = -6
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