Let's solve the equation step by step. You provided:
\[ 2h - 6 = -3h - 5 + 3h + 3h \]
First, simplify the right side. The terms \(-3h + 3h + 3h\) simplify to:
\[ -3h + 3h + 3h = 3h \]
So we rewrite the equation as:
\[ 2h - 6 = 3h - 5 \]
Next, we can solve for \(h\). First, let's move all \(h\) terms to one side and constant terms to the other side. We'll subtract \(2h\) from both sides:
\[ -6 = 3h - 2h - 5 \]
This simplifies to:
\[ -6 = h - 5 \]
Now, add 5 to both sides to isolate \(h\):
\[ -6 + 5 = h \]
Thus, we get:
\[ -1 = h \]
Therefore, the solution for \(h\) is:
\[ h = -1 \]