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-5+3/4(8h+12)-10h
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1 Answer

6 votes

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.

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