Answer: 22 - 5ab.
To simplify the expression 5(6-ab)+2(-7+3), we can follow the order of operations (PEMDAS/BODMAS) to simplify it step by step:
1. Simplify the expressions inside the parentheses first.
Inside the first parentheses: -ab can be rewritten as -1 * a * b.
Inside the second parentheses: -7 + 3 equals -4.
The expression becomes: 5(6 - a * b) + 2(-4).
2. Next, we simplify the multiplication.
6 - a * b = 6 - ab
-4 is already simplified.
The expression becomes: 5(6 - ab) + 2(-4).
3. Now, we can distribute the multiplication.
5(6 - ab) = 30 - 5ab
2(-4) = -8
The expression becomes: 30 - 5ab + (-8).
4. Simplify the addition/subtraction.
The expression becomes: 30 - 5ab - 8.
5. Combine like terms.
30 - 8 = 22
The expression becomes: 22 - 5ab.
So, the simplified form of 5(6-ab)+2(-7+3) is 22 - 5ab.