Simplify −5+3/4 (8h+12)−10h .
−5+3/4(8h+12)−10h can be simplified as follows:
First, distribute the 3/4 to the terms inside the parentheses:
−5 + (3/4)(8h) + (3/4)(12) − 10h
Simplify the terms inside the parentheses:
−5 + 6h + 9 - 10h
Combine like terms:
(6h - 10h) + (-5 + 9)
Simplify:
-4h + 4
The simplified expression is -4h + 4.
To simplify the expression −5 + 3/4(8h + 12) - 10h, we will follow the order of operations.
Step 1: Distribute the 3/4 to the terms inside the parentheses:
−5 + 3/4 * 8h + 3/4 * 12 - 10h
Step 2: Simplify the products:
−5 + 6h + 9/4 - 10h
Step 3: Combine like terms:
Combine the terms with the variable h: 6h - 10h = -4h
Combine the constant terms: -5 + 9/4 = -20/4 + 9/4 = -11/4
Step 4: Rewrite the expression with the simplified terms:
-4h - 11/4
So, the simplified expression is -4h - 11/4.
To simplify the given expression, you need to follow a specific order of operations called PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's simplify the expression step by step:
Step 1: Simplify inside the parentheses.
Inside the parentheses, you have 8h + 12. No further simplification can be done at this point.
Step 2: Distribute the -5 and 3/4 to the terms inside the parentheses.
-5(8h + 12) = -40h - 60 (multiply each term inside the parentheses by -5)
3/4(8h + 12) = (3/4)(8h) + (3/4)(12) = 6h + 9 (multiply each term inside the parentheses by 3/4)
So the expression becomes:
-40h - 60 + 6h + 9 - 10h
Step 3: Combine like terms.
Combine the h terms together and the constant terms together:
(-40h + 6h - 10h) + (-60 + 9) = -44h - 51
Therefore, the simplified expression is -44h - 51.