What value of z is a solution to this equation?


10=

10(z+9)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

\[ \boxed{-8}. \]