#### Answer

$7h-1$

#### Work Step by Step

We start with the given expression: $4h+3h-4+3$
To simplify an algebraic expression, we must eliminate any parentheses and combine like terms.
We apply the associative property of addition to group like terms: $(4h+3h)+(-4+3)$
We combine like terms by addition: $7h+(-1)=7h-1$