Simplify −5+3/4(8h+12)−10h

To simplify the expression −5+3/4(8h+12)−10h, we will perform the operations in the given order.

First, distribute 3/4 to 8h and 12:
−5 + 3/4 * 8h + 3/4 * 12 − 10h

Simplify the expression:
−5 + (6h) + (9/4) - 10h

Combine like terms:
(6h - 10h) + (-5 + 9/4)

Combine like terms:
-4h + (-20 + 9/4)

Combine the fractions:
-4h + (-80/4 + 9/4)

Combine the numbers and fractions:
-4h + (-71/4)

The simplified expression is -4h - 71/4.

that's wrong

Apologies for the mistake. Let's correct it.

To simplify −5 + 3/4(8h + 12) − 10h, we will perform the operations in the given order.

First, distribute 3/4 to 8h and 12:
−5 + (3/4) * 8h + (3/4) * 12 − 10h

Simplify the expression:
−5 + (6h) + 9 - 10h

Combine like terms:
(6h - 10h) + (-5 + 9)

Combine like terms:
-4h + 4

The simplified expression is -4h + 4.

wronggggg

Apologies once again. Let's correct it.

To simplify −5 + (3/4)(8h + 12) − 10h, we will perform the operations in the given order.

First, distribute (3/4) to (8h + 12):
−5 + (3/4)(8h) + (3/4)(12) − 10h

Simplify the expression:
−5 + (24/4)h + (36/4) − 10h

Combine like terms:
(24/4)h - 10h + (36/4) - 5

Combine like terms:
(24/4 - 40/4)h + (36/4 - 20/4)

Combine the fractions:
(24 - 40)/4h + (36 - 20)/4

Simplify the numerator and denominator:
(-16/4)h + 16/4

Simplify the fractions:
-4h + 4

The simplified expression is -4h + 4.

To simplify the expression −5+3/4(8h+12)−10h, we can follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses
8h + 12 remains the same as there are no like terms to combine.

−5 + 3/4(8h + 12) − 10h simplifies to −5 + 3/4(8h + 12) − 10h.

Step 2: Distribute the fraction (3/4) to the terms inside the parentheses.
(3/4) × 8h = (3/4)(8h) = 6h
(3/4) × 12 = (3/4)(12) = 9

−5 + 6h + 9 − 10h simplifies to −5 + 6h + 9 − 10h.

Step 3: Combine like terms with the same variables.
6h − 10h = -4h

−5 + 6h + 9 − 10h simplifies to −5h + 4.

Therefore, the simplified expression is −5h + 4.

To simplify the expression −5+3/4(8h+12)−10h, follow the order of operations (also known as PEMDAS/BODMAS):

Step 1: Simplify within parentheses
Inside the parentheses, we have 8h+12. We can't simplify it further, so we leave it as it is.

-5+3/4(8h+12)−10h becomes -5+3/4(8h+12)−10h

Step 2: Apply multiplication within the parentheses
We need to apply distribution to the term 3/4 times (8h+12). Multiply 3/4 by 8h and 3/4 by 12 separately.

-5+3/4 * 8h + 3/4 * 12 − 10h

Step 3: Simplify products
Multiply 3/4 by 8h to get (24h/4) which simplifies to 6h. And multiply 3/4 by 12 to get (36/4) which simplifies to 9.

-5 + 6h + 9 - 10h

Step 4: Combine like terms
Combine the terms that have the same variable (h) and the terms with only numbers.

(6h - 10h) + (-5 + 9)

Simplifying the terms, we get:

-4h + 4

Therefore, the simplified expression is -4h + 4.