Collocations are two or more words that often go together. They are combinations that are used by native English speakers all the time. Here are some common adverb + verb collocations.

badly damageThe hurricane badly damaged the whole area.
badly hurt/injureTwo children were badly injured in the accident.
badly needMost of the refugees badly needed food and medicine.
closely examineThe police officer closely examined the footprints.
completely forgetJack completely forgot his wife’s birthday.
completely destroyThe bomb completely destroyed the airport.
deeply regretLater on she deeply regretted her words.
distinctly rememberEva distinctly remembers leaving the key at the reception.
firmly believeDad firmly believes in the benefits of a healthy diet.
firmly rejectThe authorities firmly rejected any suggestion of fraud in the elections.
flatly refuseThe passenger flatly refused to change seats.
freely admitShe freely admitted her mistake and apologised.
fully appreciateWe fully appreciate the seriousness of the situation.
fully recoverIt will take some time for the patient to fully recover.
fully understandThe store manager fully understood why the customer was annoyed.
greatly admireI greatly admire the dedication of the medical staff.
hotly denyThe boy hotly denied breaking the window.
rise steadilyTemperatures rise steadily all through the summer.
seriously doubtThe teacher seriously doubted the pupil’s ability to succeed.
seriously think/considerWe are seriously thinking of taking legal action.
sincerely hopeI sincerely hope you will be rewarded for your work.
strongly adviseThe doctor strongly advised him to lose weight.
strongly criticizeThe new measures were strongly criticized by the opposition.
totally agreeThe group totally agreed with his proposal.
thoroughly enjoyWe all thoroughly enjoyed the wedding reception.
thoroughly inspectThey received orders to thoroughly inspect all luggage.