To solve the equation \(-4 + 5n = 6n + 1\), follow these steps:
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Rearrange the equation to get all the \(n\) terms on one side and the constant terms on the other side.
Subtract \(5n\) from both sides:
\[ -4 = 6n - 5n + 1 \]
This simplifies to:
\[ -4 = n + 1 \]
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Isolate \(n\) by subtracting 1 from both sides:
\[ -4 - 1 = n \]
This gives:
\[ n = -5 \]
So, the solution is
\[ n = -5 \]