write as a 7th grader Simplify the following expression. Write your answer in the simplest form. Show your calculations. (2 points) (7.EE.1) 25(34p + 56w) + 15(12p − 623w)

Answer 1

To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), we will start by using the distributive property.

1. Distribute 25 in the first part:

   \[ 25(34p) + 25(56w) = 850p + 1400w \]

2. Distribute 15 in the second part:

   \[ 15(12p) + 15(-623w) = 180p - 9345w \]

Now we can combine both parts:

\[ 850p + 1400w + 180p - 9345w \]

3. Combine like terms (the \( p \) terms and the \( w \) terms):

   For \( p \): \[ 850p + 180p = 1030p \]

   For \( w \): \[ 1400w - 9345w = -7945w \]

4. So, the simplified expression is:

   \[ 1030p - 7945w \]

Thus, the final answer in its simplest form is:

\[ \boxed{1030p - 7945w} \]

Answer 2

mo4re simple and make it able to copy and paste

Answer 3

Sure! Here’s a simpler version of the solution that you can easily copy and paste:

To simplify the expression \( 25(34p + 56w) + 15(12p - 623w) \), follow these steps:

1. Distribute \( 25 \) in the first part: \[ 25(34p) + 25(56w) = 850p + 1400w \]

2. Distribute \( 15 \) in the second part: \[ 15(12p) + 15(-623w) = 180p - 9345w \]

3. Combine both parts: \[ 850p + 1400w + 180p - 9345w \]

4. Combine like terms:

   • For \( p \): \[ 850p + 180p = 1030p \]
   • For \( w \): \[ 1400w - 9345w = -7945w \]

5. The simplified expression is: \[ 1030p - 7945w \]

Final Answer: \[ \boxed{1030p - 7945w} \]

Answer 4

make it able to copy and paste

Answer 5

Sure! Here’s the solution formatted for easy copying and pasting:

To simplify the expression 25(34p + 56w) + 15(12p - 623w), follow these steps:

1. Distribute 25 in the first part:
   25(34p) + 25(56w) = 850p + 1400w

2. Distribute 15 in the second part:
   15(12p) + 15(-623w) = 180p - 9345w

3. Combine both parts:
   850p + 1400w + 180p - 9345w

4. Combine like terms:
   - For p:
     850p + 180p = 1030p
   - For w:
     1400w - 9345w = -7945w

5. The simplified expression is:
   1030p - 7945w

Final Answer:
1030p - 7945w

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