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Simplifying 4z(x + -4y) + -7(x + -4y) = 0 (x * 4z + -4y * 4z) + -7(x + -4y) = 0 (4xz + -16yz) + -7(x + -4y) = 0 4xz + -16yz + (x * -7 + -4y * -7) = 0 4xz + -16yz + (-7x + 28y) = 0 Reorder the terms: -7x + 4xz + 28y + -16yz = 0 Solving -7x + 4xz + 28y + -16yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. -7x + 4xz + 28y + -28y + -16yz = 0 + -28y Combine like terms: 28y + -28y = 0 -7x + 4xz + 0 + -16yz = 0 + -28y -7x + 4xz + -16yz = 0 + -28y Remove the zero: -7x + 4xz + -16yz = -28y Add '16yz' to each side of the equation. -7x + 4xz + -16yz + 16yz = -28y + 16yz Combine like terms: -16yz + 16yz = 0 -7x + 4xz + 0 = -28y + 16yz -7x + 4xz = -28y + 16yz Reorder the terms: -7x + 4xz + 28y + -16yz = -28y + 28y + 16yz + -16yz Combine like terms: -28y + 28y = 0 -7x + 4xz + 28y + -16yz = 0 + 16yz + -16yz -7x + 4xz + 28y + -16yz = 16yz + -16yz Combine like terms: 16yz + -16yz = 0 -7x + 4xz + 28y + -16yz = 0 The solution to this equation could not be determined.
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