-20z+9z+5z+9z–20=4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
26 days ago

To solve the equation \(-20z + 9z + 5z + 9z - 20 = 4\), we first combine the like terms on the left side.

1. Combine the \(z\) terms:
\[
-20z + 9z + 5z + 9z = (-20 + 9 + 5 + 9)z = -20 + 23z = 23z - 20
\]

So, the equation simplifies to:
\[
23z - 20 = 4
\]

2. Next, we isolate \(z\) by adding 20 to both sides:
\[
23z = 4 + 20
\]
\[
23z = 24
\]

3. Now, divide both sides by 23 to solve for \(z\):
\[
z = \frac{24}{23}
\]

Thus, the solution to the equation is:
\[
z = \frac{24}{23}
\]