There are many ways you could solve this equation. One way you can start is by rewriting the expression on the left to make it easier to work with. How can you rewrite the fraction on the left to make it easier to work with, without changing its value?

Question

2(15z+5)
10
=
−5z+3

Divide the numerator by 3

Multiply the numerator by 2

Divide the numerator and the denominator by 2

Answer 1

To manipulate the fraction on the left side of the equation \( \frac{2(15z+5)}{10} \) and make it easier to work with, we can divide both the numerator and the denominator by 2. This simplifies the expression without changing its value.

Let's go through the process:

Starting with the expression:

\[ \frac{2(15z + 5)}{10} \]

Dividing the numerator and the denominator by 2:

\[ \frac{2(15z + 5) \div 2}{10 \div 2} = \frac{15z + 5}{5} \]

Now, the left side of the equation becomes:

\[ \frac{15z + 5}{5} = -5z + 3 \]

So, the correct approach is to divide the numerator and the denominator by 2.