(1) Mindset
The first question to ask yourself as you're organizing your thoughts to write - and the overarching theme always to keep in mind as you're writing:
"Does each piece of information I want to include serve my readers? Do they need to know this? Is sharing this detail vital to reader understanding and/or the main point I'm making?
We sometimes include bits of information we're attached to - a pet topic or idea, for example.
If a piece of information doesn't serve your readers, drop it.
(2) Strike most "process steps"
Process steps (i.e., how you did something to produce a result) exemplifies one information type referenced above.
Readers are mostly interested in how ideas in your writing affect them. It may be tempting to include the how - all the steps you had to go through - readers want results and relevance to them and their priorities.
Focus on your readers' priorities - including what you need from them.
(3) Offer the opportunity to follow-up
Explicitly give your readers permission to ask questions and seek clarification if anything is confusing.
Depending on context, it can be helpful to add language at the end of your writing along the lines of "I want to ensure I've communicated everything clearly. Please reach out with any questions."
Offer a clarity check-in so readers with questions will be more likely to ask follow-ups.
(4) Eliminate filler words
Not all words have the same value.
To shorten your writing without sacrificing clarity, look to drop:
"that"
"the"
nominalizations ("there's a tendency for writers to..." to vs. "writers tend to...")
"in order to" (vs. just "to")
Cull through your writing, looking for words taking up space without adding understanding.
(5) Use strong verbs
Instead of using forms of the verb "to be" (is, was, were, will be, etc.) and clogging sentences with descriptors (usually adjectives), choose active verbs that convey meaning without needing many/any adjectives.
Some examples:
"fuel"
"empower"
"drag"
"short-circuit"
"unlock"
Spark listener interest with vivid verbs they can "see".