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Simplifying 4(3k + -2 + 4x) = 0 Reorder the terms: 4(-2 + 3k + 4x) = 0 (-2 * 4 + 3k * 4 + 4x * 4) = 0 (-8 + 12k + 16x) = 0 Solving -8 + 12k + 16x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 12k + 8 + 16x = 0 + 8 Reorder the terms: -8 + 8 + 12k + 16x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12k + 16x = 0 + 8 12k + 16x = 0 + 8 Combine like terms: 0 + 8 = 8 12k + 16x = 8 Add '-16x' to each side of the equation. 12k + 16x + -16x = 8 + -16x Combine like terms: 16x + -16x = 0 12k + 0 = 8 + -16x 12k = 8 + -16x Divide each side by '12'. k = 0.6666666667 + -1.333333333x Simplifying k = 0.6666666667 + -1.333333333x
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