To solve this expression, we can simplify each term separately and then combine them.

First, let's simplify the first term: 7/15 * (-23)/45

Multiply the numerators: 7 * (-23) = -161
Multiply the denominators: 15 * 45 = 675

So, the first term simplifies to -161/675.

Next, let's simplify the second term: 7/15 * (-22)/45

Multiply the numerators: 7 * (-22) = -154
Multiply the denominators: 15 * 45 = 675

So, the second term simplifies to -154/675.

Finally, let's combine the simplified terms: -161/675 + -154/675 - 8/15

To combine fractions, we need a common denominator. In this case, the common denominator is 675.

Rewrite -8/15 with the common denominator 675: -8/15 = -360/675

Now, we can add the fractions: -161/675 + -154/675 - 360/675

Combine the numerators: -161 + -154 - 360 = -675

So, the expression simplifies to -675/675.

However, we can simplify this further by noticing that the numerator and denominator are the same. Any number divided by itself is equal to 1.

Therefore, -675/675 simplifies to 1.

So, the final answer is 1.