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To solve the inequality \(-12g + 18 > -5g + 53\), we can start by isolating \(g\).
1. First, let's move the terms involving \(g\) to one side. We'll add \(12g\) to both sides:
\[
18 > 7g + 53
\]
2. Next, we subtract \(53\) from both sides:
\[
18 - 53 > 7g
\]
This simplifies to:
\[
-35 > 7g
\]
3. Now, we can divide both sides by \(7\). Remember that dividing by a positive number does not change the direction of the inequality:
\[
-\frac{35}{7} > g
\]
Simplifying this gives:
\[
-5 > g
\]
or
\[
g < -5
\]
The correct solution is \(g < -5\).
So the answer is \(g < - 5\).