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Simplifying -4(-4x + -6 + 5k) = 0 Reorder the terms: -4(-6 + 5k + -4x) = 0 (-6 * -4 + 5k * -4 + -4x * -4) = 0 (24 + -20k + 16x) = 0 Solving 24 + -20k + 16x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -20k + -24 + 16x = 0 + -24 Reorder the terms: 24 + -24 + -20k + 16x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -20k + 16x = 0 + -24 -20k + 16x = 0 + -24 Combine like terms: 0 + -24 = -24 -20k + 16x = -24 Add '-16x' to each side of the equation. -20k + 16x + -16x = -24 + -16x Combine like terms: 16x + -16x = 0 -20k + 0 = -24 + -16x -20k = -24 + -16x Divide each side by '-20'. k = 1.2 + 0.8x Simplifying k = 1.2 + 0.8x
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