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Simplifying -1k + -4(-8 + -2k) = -3 -1k + (-8 * -4 + -2k * -4) = -3 -1k + (32 + 8k) = -3 Reorder the terms: 32 + -1k + 8k = -3 Combine like terms: -1k + 8k = 7k 32 + 7k = -3 Solving 32 + 7k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7k = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 7k = -3 + -32 7k = -3 + -32 Combine like terms: -3 + -32 = -35 7k = -35 Divide each side by '7'. k = -5 Simplifying k = -5
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