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Simplifying -7(k + -7) + -1(-8k + -6) = 3 Reorder the terms: -7(-7 + k) + -1(-8k + -6) = 3 (-7 * -7 + k * -7) + -1(-8k + -6) = 3 (49 + -7k) + -1(-8k + -6) = 3 Reorder the terms: 49 + -7k + -1(-6 + -8k) = 3 49 + -7k + (-6 * -1 + -8k * -1) = 3 49 + -7k + (6 + 8k) = 3 Reorder the terms: 49 + 6 + -7k + 8k = 3 Combine like terms: 49 + 6 = 55 55 + -7k + 8k = 3 Combine like terms: -7k + 8k = 1k 55 + 1k = 3 Solving 55 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 1k = 3 + -55 Combine like terms: 55 + -55 = 0 0 + 1k = 3 + -55 1k = 3 + -55 Combine like terms: 3 + -55 = -52 1k = -52 Divide each side by '1'. k = -52 Simplifying k = -52
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