Simplify the Expression: 7.8 + 3.5a - 80b - 7.8b + 3.9a

7.8+3.5a80b7.8b+3.9a=? 7.8+3.5a-80b-7.8b+3.9a=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's simplify this expression together.
00:12 First, identify and mark the right variables.
00:16 Now, use the commutative law to rearrange them neatly.
00:39 Group the same kinds of terms, also known as like terms.
00:52 Great job! That's how we find the solution.

Step-by-step written solution

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1

Understand the problem

7.8+3.5a80b7.8b+3.9a=? 7.8+3.5a-80b-7.8b+3.9a=\text{?}

2

Step-by-step solution

To solve this problem, we need to simplify the given expression:

1. Identify and group similar terms:

  • Constant term: 7.8 7.8
  • Terms with a a : 3.5a+3.9a 3.5a + 3.9a
  • Terms with b b : 80b7.8b-80b - 7.8b

2. Simplify each group:

  • Combine terms with a a :
    3.5a+3.9a=(3.5+3.9)a=7.4a 3.5a + 3.9a = (3.5 + 3.9)a = 7.4a
  • Combine terms with b b :
    80b7.8b=(807.8)b=87.8b -80b - 7.8b = (-80 - 7.8)b = -87.8b

3. The constant term remains 7.8 7.8 .

4. Therefore, the simplified expression is:
7.8+7.4a87.8b 7.8 + 7.4a - 87.8b

Thus, the correct answer is 7.8+7.4a87.8b\boxed{7.8 + 7.4a - 87.8b}

3

Final Answer

7.8+7.4a87.8b 7.8+7.4a-87.8b

Practice Quiz

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Are the expressions the same or not?

\( 3+3+3+3 \)

\( 3\times4 \)

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