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Simplifying 4(-9k + 2) = 2(-1 + -7k) + -3k Reorder the terms: 4(2 + -9k) = 2(-1 + -7k) + -3k (2 * 4 + -9k * 4) = 2(-1 + -7k) + -3k (8 + -36k) = 2(-1 + -7k) + -3k 8 + -36k = (-1 * 2 + -7k * 2) + -3k 8 + -36k = (-2 + -14k) + -3k Combine like terms: -14k + -3k = -17k 8 + -36k = -2 + -17k Solving 8 + -36k = -2 + -17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17k' to each side of the equation. 8 + -36k + 17k = -2 + -17k + 17k Combine like terms: -36k + 17k = -19k 8 + -19k = -2 + -17k + 17k Combine like terms: -17k + 17k = 0 8 + -19k = -2 + 0 8 + -19k = -2 Add '-8' to each side of the equation. 8 + -8 + -19k = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -19k = -2 + -8 -19k = -2 + -8 Combine like terms: -2 + -8 = -10 -19k = -10 Divide each side by '-19'. k = 0.5263157895 Simplifying k = 0.5263157895
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