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Simplifying k + -2(4 + -3k) = 0 k + (4 * -2 + -3k * -2) = 0 k + (-8 + 6k) = 0 Reorder the terms: -8 + k + 6k = 0 Combine like terms: k + 6k = 7k -8 + 7k = 0 Solving -8 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7k = 0 + 8 7k = 0 + 8 Combine like terms: 0 + 8 = 8 7k = 8 Divide each side by '7'. k = 1.142857143 Simplifying k = 1.142857143
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