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Simplifying -7(k + -3) + -1(-8k + -3) = -3 Reorder the terms: -7(-3 + k) + -1(-8k + -3) = -3 (-3 * -7 + k * -7) + -1(-8k + -3) = -3 (21 + -7k) + -1(-8k + -3) = -3 Reorder the terms: 21 + -7k + -1(-3 + -8k) = -3 21 + -7k + (-3 * -1 + -8k * -1) = -3 21 + -7k + (3 + 8k) = -3 Reorder the terms: 21 + 3 + -7k + 8k = -3 Combine like terms: 21 + 3 = 24 24 + -7k + 8k = -3 Combine like terms: -7k + 8k = 1k 24 + 1k = -3 Solving 24 + 1k = -3 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 + 1k = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 1k = -3 + -24 1k = -3 + -24 Combine like terms: -3 + -24 = -27 1k = -27 Divide each side by '1'. k = -27 Simplifying k = -27
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