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Simplifying 4x(6k + -4) = 7k + -1(2k + -3) Reorder the terms: 4x(-4 + 6k) = 7k + -1(2k + -3) (-4 * 4x + 6k * 4x) = 7k + -1(2k + -3) Reorder the terms: (24kx + -16x) = 7k + -1(2k + -3) (24kx + -16x) = 7k + -1(2k + -3) Reorder the terms: 24kx + -16x = 7k + -1(-3 + 2k) 24kx + -16x = 7k + (-3 * -1 + 2k * -1) 24kx + -16x = 7k + (3 + -2k) Reorder the terms: 24kx + -16x = 3 + 7k + -2k Combine like terms: 7k + -2k = 5k 24kx + -16x = 3 + 5k Solving 24kx + -16x = 3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 24kx + -5k + -16x = 3 + 5k + -5k Reorder the terms: -5k + 24kx + -16x = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 -5k + 24kx + -16x = 3 + 0 -5k + 24kx + -16x = 3 Add '16x' to each side of the equation. -5k + 24kx + -16x + 16x = 3 + 16x Combine like terms: -16x + 16x = 0 -5k + 24kx + 0 = 3 + 16x -5k + 24kx = 3 + 16x Reorder the terms: -3 + -5k + 24kx + -16x = 3 + 16x + -3 + -16x Reorder the terms: -3 + -5k + 24kx + -16x = 3 + -3 + 16x + -16x Combine like terms: 3 + -3 = 0 -3 + -5k + 24kx + -16x = 0 + 16x + -16x -3 + -5k + 24kx + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 -3 + -5k + 24kx + -16x = 0 The solution to this equation could not be determined.
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