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Simplifying 4x(3xk + -8) + -11 = 2 Reorder the terms: 4x(-8 + 3kx) + -11 = 2 (-8 * 4x + 3kx * 4x) + -11 = 2 Reorder the terms: (12kx2 + -32x) + -11 = 2 (12kx2 + -32x) + -11 = 2 Reorder the terms: -11 + 12kx2 + -32x = 2 Solving -11 + 12kx2 + -32x = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 12kx2 + 11 + -32x = 2 + 11 Reorder the terms: -11 + 11 + 12kx2 + -32x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 12kx2 + -32x = 2 + 11 12kx2 + -32x = 2 + 11 Combine like terms: 2 + 11 = 13 12kx2 + -32x = 13 Add '32x' to each side of the equation. 12kx2 + -32x + 32x = 13 + 32x Combine like terms: -32x + 32x = 0 12kx2 + 0 = 13 + 32x 12kx2 = 13 + 32x Divide each side by '12x2'. k = 1.083333333x-2 + 2.666666667x-1 Simplifying k = 1.083333333x-2 + 2.666666667x-1
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