It means that whatever the subject of the motion or writ was, it was reviewed by the judge and he denied it.
The case moves on
It may depend on the context, but in general it means that the motion no longer has any value so it was denied simply because it doesn't matter. For example, suppose you file two separate motions: one to dismiss a case against you, and another to exclude certain evidence so it can't be used against you at trial. If the judge grants your first motion, then the second is meaningless; no evidence will be used against you because there will be no trial. Therefore, the second motion would be denied as moot.
It may depend on the context, but in general it means that the motion no longer has any value so it was denied simply because it doesn't matter. For example, suppose you file two separate motions: one to dismiss a case against you, and another to exclude certain evidence so it can't be used against you at trial. If the judge grants your first motion, then the second is meaningless; no evidence will be used against you because there will be no trial. Therefore, the second motion would be denied as moot.
A motion by a debtor to dismiss a case under Section 1307 B means that any debt not settled under Chapter 7 bankruptcy, can be dismissed. But, this is only under certain conditions.
this means that the petitioner has been denied free counsel, and must seek their own, or prove that they qualify for said counsel.
A "motion to dismiss sustained" means that a judge has granted the defendant's request to dismiss a case or specific claims within it, typically due to a lack of legal basis or insufficient evidence. This ruling effectively ends the case, or the dismissed claims, before it goes to trial. The plaintiff may have the opportunity to amend their complaint, depending on the judge's ruling and the reasons for the dismissal.
It means that someone (probably the losing party) petitioned the court to have the case re-opened and the original judgment re-considered. A hearing on the matter was conducted by the judge - and after hearing arguments for and against, the motion was DENIED.
More info required from questioner - what do you mean by "dismiss" a criminal record.
Dismiss
It sounds like stealing to me.
A motion to abate a case is a legal request to temporarily suspend or dismiss a proceeding. This motion can be filed for various reasons, such as the need for additional time to gather evidence, the occurrence of a related legal matter, or other circumstances that impede the case's progress. If granted, the case may be paused until the issues prompting the motion are resolved.