Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Discover comprehensive answers to your questions from our community of knowledgeable experts.

Question 1 (Multiple Choice Worth 1 point)

Simplify the following expression:
[tex]\[ 4n - m + 3p + 2m \][/tex]

Sagot :

GinnyAnsweridn
Let's examine and simplify the given expression step-by-step:
[tex]\[ 4n - m + 3p + 2m = n = p \][/tex]

### Step 1: Combine Like Terms
First, combine the like terms involving [tex]\( m \)[/tex]:
[tex]\[ 4n - m + 2m + 3p = n = p \][/tex]
This simplifies to:
[tex]\[ 4n + m + 3p = n = p \][/tex]

### Step 2: Substitute [tex]\( p \)[/tex] with [tex]\( n \)[/tex]
It's given that [tex]\( n = p \)[/tex], so substitute [tex]\( p \)[/tex] with [tex]\( n \)[/tex]:
[tex]\[ 4n + m + 3n = n = n \][/tex]

### Step 3: Simplify the Expression
Since [tex]\( n = n \)[/tex] trivially holds, focus on simplifying the other part:
[tex]\[ 4n + m + 3n = n \][/tex]
Combine the [tex]\( n \)[/tex] terms:
[tex]\[ 7n + m = n \][/tex]

### Step 4: Isolate [tex]\( m \)[/tex]
To isolate [tex]\( m \)[/tex], subtract [tex]\( 7n \)[/tex] from both sides of the equation:
[tex]\[ 7n + m - 7n = n - 7n \][/tex]
This simplifies to:
[tex]\[ m = n - 7n \][/tex]
[tex]\[ m = -6n \][/tex]

### Final Result
The simplified expression is:
[tex]\[ m = -6n \][/tex]

Thus, the expression [tex]\( 4n - m + 3p + 2m = n = p \)[/tex] simplifies to:
[tex]\[ m = -6n \][/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.