Answer:
-4h + 4.
Explanation:
To simplify the expression -5+3/4(8h+12)-10h, we can follow the order of operations, which is commonly remembered with the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division - performed from left to right, and Addition and Subtraction - performed from left to right).
1. Simplify the expression inside the parentheses: 8h + 12.
2. Apply the distributive property by multiplying the fraction 3/4 with the expression inside the parentheses, 8h + 12.
3. Perform any multiplication and division from left to right.
4. Perform any addition and subtraction from left to right.
Here's a step-by-step breakdown of the expression:
-5 + 3/4(8h + 12) - 10h
Inside the parentheses:
-5 + 3/4 * 8h + 3/4 * 12 - 10h
Multiplication:
-5 + (3/4 * 8h) + (3/4 * 12) - 10h
-5 + (6h) + (9) - 10h
Now, we can combine like terms:
-4h + 4
So the simplified expression is -4h + 4.