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The phrase "agree exactly with" is correct and usable in written English
It can be used when expressing complete alignment or consensus with a statement, opinion, or idea. Example: "I agree exactly with your assessment of the situation; it reflects the reality we are facing."
Exact(14)
"All I want is the England manager to agree exactly with me," insists Ethan Dean-Richards (72 min), one step away from telling the bartender, via the medium of swing, to give him a big pour for the road.
The game is being played at an empty Arena Khimki due to a Uefa stadium ban for repeated racist behaviour by CSKA's supporters – something Touré had to endure in last season's corresponding fixture – and Pellegrini said: "I don't agree exactly with the media that Yaya has had a bad season.
The analytical curves obtained from (27) agree exactly with the Monte Carlo simulation points.
Unfortunately, these flux tubes did not agree exactly with the observations, i.e., the boundary condition of the flux tube deviated greatly from the observations.
In the absence of grading term, we have verified analytically that our solutions agree exactly with previously known Green's functions for homogeneous media.
The comparison shows that the experimental kinetic parameters do not agree exactly with those reported in the literature, but provide a good agreement between predicted and experimental data of temperature and conversion.
Similar(44)
Everyone they knew agreed exactly with them.
He then added a challenge: a theory, he wrote "that agrees exactly with exact astronomical observations cannot fail to be true".
In addition, we can see from Figure 2 that this analysis agrees exactly with the simulation results.
Besides, the expression of net mass flux derived from the present model agreed exactly with that resulted from nonequilibrium thermodynamics.
where and SNR = P1/σ n 2. Only the third-order term for N is included in the approximation (3.13) which agrees exactly with [3].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com