Simplify the Expression: 14+8a-(7b-13-2a)

14+8a(7b132a)=? 14+8a-(7b-13-2a)=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Always solve parentheses first
00:07 Note, negative times positive is always negative
00:11 Note, negative times negative is always positive
00:23 Collect like terms
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

14+8a(7b132a)=? 14+8a-(7b-13-2a)=\text{?}

2

Step-by-step solution

First, we address the exercise within the parentheses:

Remember that:

When we multiply a positive number by a negative number, the result will be negative.

When we multiply a negative number by a negative number, the result will be positive.

Now we obtain:

14+8a7b+13+2a= 14+8a-7b+13+2a=

We join the coefficients to:

8a+2a=10a 8a+2a=10a

We join the numbers without coefficients:

14+13=27 14+13=27

We obtain:

27+10a7b 27+10a-7b

3

Final Answer

27+10a7b 27+10a-7b

Practice Quiz

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\( 100-(30-21)= \)

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