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Simplifying 2x(3 + -4k) = p (3 * 2x + -4k * 2x) = p Reorder the terms: (-8kx + 6x) = p (-8kx + 6x) = p Solving -8kx + 6x = p Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. -8kx + 6x + -6x = p + -6x Combine like terms: 6x + -6x = 0 -8kx + 0 = p + -6x -8kx = p + -6x Divide each side by '-8x'. k = -0.125px-1 + 0.75 Simplifying k = -0.125px-1 + 0.75 Reorder the terms: k = 0.75 + -0.125px-1
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