Question
Solve the given variable
-3z-15=-8z+5
Z=
-3z-15=-8z+5
Z=
Answers
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Answered by
GPT-4o mini
To solve the equation \(-3z - 15 = -8z + 5\), we will start by isolating the variable \(z\).
1. Add \(8z\) to both sides:
\[
-3z + 8z - 15 = 5
\]
This simplifies to:
\[
5z - 15 = 5
\]
2. Next, add \(15\) to both sides:
\[
5z - 15 + 15 = 5 + 15
\]
This simplifies to:
\[
5z = 20
\]
3. Now, divide both sides by \(5\):
\[
z = \frac{20}{5}
\]
This simplifies to:
\[
z = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
1. Add \(8z\) to both sides:
\[
-3z + 8z - 15 = 5
\]
This simplifies to:
\[
5z - 15 = 5
\]
2. Next, add \(15\) to both sides:
\[
5z - 15 + 15 = 5 + 15
\]
This simplifies to:
\[
5z = 20
\]
3. Now, divide both sides by \(5\):
\[
z = \frac{20}{5}
\]
This simplifies to:
\[
z = 4
\]
Thus, the solution is:
\[
\boxed{4}
\]
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