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Simplifying -4(-6k + 1) = 2(1 + -6k) Reorder the terms: -4(1 + -6k) = 2(1 + -6k) (1 * -4 + -6k * -4) = 2(1 + -6k) (-4 + 24k) = 2(1 + -6k) -4 + 24k = (1 * 2 + -6k * 2) -4 + 24k = (2 + -12k) Solving -4 + 24k = 2 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -4 + 24k + 12k = 2 + -12k + 12k Combine like terms: 24k + 12k = 36k -4 + 36k = 2 + -12k + 12k Combine like terms: -12k + 12k = 0 -4 + 36k = 2 + 0 -4 + 36k = 2 Add '4' to each side of the equation. -4 + 4 + 36k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 36k = 2 + 4 36k = 2 + 4 Combine like terms: 2 + 4 = 6 36k = 6 Divide each side by '36'. k = 0.1666666667 Simplifying k = 0.1666666667
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