Solve the equation 3.5z – 2.7z = –6 for z

To solve the equation (3.5z – 2.7z = -6), follow these steps:

1. Combine like terms on the left side:

[

(3.5 – 2.7)z = -6

]

This simplifies to:

[

0.8z = -6

]

2. Isolate (z) by dividing both sides by 0.8:

[

z = frac{-6}{0.8}

]

3. Calculate the right side:

[

z = -7.5

]

Thus, the solution is (z = -7.5).

This means that when you substitute (-7.5) back into the original equation, both sides will be equal, confirming that it is indeed the correct answer. If you have further questions or need more help, feel free to ask!