Let's solve the equation step by step.
Starting with the given equation:
\[ 5g - 10 = -5g - 6 + 5g + 5g \]
First, combine like terms on the right side:
- The two \(-5g\) and \(+5g\) cancel each other out, leaving us with:
\[ 5g - 10 = -6 + 5g \]
Now, subtract \(5g\) from both sides:
\[ 5g - 5g - 10 = -6 + 5g - 5g \]
This simplifies to:
\[ -10 = -6 \]
Next, we'll isolate \(g\) by moving the constants to one side of the equation:
Now we simplify to isolate \(g\).
We don't have any \(g\) terms after simplification, and there seems to be an inconsistency, since \(-10 \neq -6\). However, let's analyze your second part.
You have the rewritten relation:
\[ 10g - 10 = -6 + 10 + 10 \]
On the right side, combine the constants:
\[ -6 + 10 + 10 = 14 \]
So the equation now looks like this:
\[ 10g - 10 = 14 \]
Next, add 10 to both sides:
\[ 10g = 14 + 10 \]
Which simplifies to:
\[ 10g = 24 \]
Now, divide both sides by 10 to solve for \(g\):
\[ g = \frac{24}{10} = \frac{12}{5} \]
So, the final solution is:
\[ g = 2.4 \] or \(\frac{12}{5}\).