Question
What value of z is a solution to this equation?
–
10=
–
10(z+9)
–
10=
–
10(z+9)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation
\[
-10 = -10(z + 9),
\]
let's start by distributing the \(-10\) on the right side:
\[
-10 = -10z - 90.
\]
Next, we can add \(90\) to both sides to isolate the term with \(z\):
\[
-10 + 90 = -10z,
\]
which simplifies to:
\[
80 = -10z.
\]
Now, divide both sides by \(-10\) to solve for \(z\):
\[
z = \frac{80}{-10} = -8.
\]
Thus, the value of \(z\) that is a solution to the equation is
\[
\boxed{-8}.
\]
\[
-10 = -10(z + 9),
\]
let's start by distributing the \(-10\) on the right side:
\[
-10 = -10z - 90.
\]
Next, we can add \(90\) to both sides to isolate the term with \(z\):
\[
-10 + 90 = -10z,
\]
which simplifies to:
\[
80 = -10z.
\]
Now, divide both sides by \(-10\) to solve for \(z\):
\[
z = \frac{80}{-10} = -8.
\]
Thus, the value of \(z\) that is a solution to the equation is
\[
\boxed{-8}.
\]
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