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Simplifying -2(-7k + 4) * 9 = -13 Reorder the terms: -2(4 + -7k) * 9 = -13 Reorder the terms for easier multiplication: -2 * 9(4 + -7k) = -13 Multiply -2 * 9 -18(4 + -7k) = -13 (4 * -18 + -7k * -18) = -13 (-72 + 126k) = -13 Solving -72 + 126k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 126k = -13 + 72 Combine like terms: -72 + 72 = 0 0 + 126k = -13 + 72 126k = -13 + 72 Combine like terms: -13 + 72 = 59 126k = 59 Divide each side by '126'. k = 0.4682539683 Simplifying k = 0.4682539683
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