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Simplifying -1(-4k + 2) = -3k + 1 Reorder the terms: -1(2 + -4k) = -3k + 1 (2 * -1 + -4k * -1) = -3k + 1 (-2 + 4k) = -3k + 1 Reorder the terms: -2 + 4k = 1 + -3k Solving -2 + 4k = 1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -2 + 4k + 3k = 1 + -3k + 3k Combine like terms: 4k + 3k = 7k -2 + 7k = 1 + -3k + 3k Combine like terms: -3k + 3k = 0 -2 + 7k = 1 + 0 -2 + 7k = 1 Add '2' to each side of the equation. -2 + 2 + 7k = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 7k = 1 + 2 7k = 1 + 2 Combine like terms: 1 + 2 = 3 7k = 3 Divide each side by '7'. k = 0.4285714286 Simplifying k = 0.4285714286
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