Use the properties of operations to add 9(k+1-3) +10(1-2k-1)

To simplify the expression 9(k+1-3) + 10(1-2k-1), we can use the distributive property of multiplication over addition.

First, let's simplify the expressions inside the parentheses:
k+1-3 simplifies to k - 2.
1-2k-1 simplifies to -2k.

Now we have:
9(k - 2) + 10(-2k)

Next, we can apply the distributive property by multiplying the constants 9 and 10 with the terms inside the parentheses:
9k - 18 + (-20k)

Now, we can combine like terms:
9k - 20k - 18

Finally, we can simplify it further:
-11k - 18

Therefore, the simplified expression is -11k - 18.