College

We appreciate your visit to Solve tex 5 4m 1 2m 13 tex A tex m frac 14 18 tex B tex m frac 18 20 tex C tex m. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Solve [tex]$5(4m + 1) - 2m = -13$[/tex]

A. [tex]$m = -\frac{14}{18}$[/tex]

B. [tex]$m = -\frac{18}{20}$[/tex]

C. [tex]$m = -1$[/tex]

D. [tex]$m = -2.25$[/tex]

Answer :

Sure! Let's solve the equation step by step:

We have the equation:
[tex]\[ 5(4m + 1) - 2m = -13 \][/tex]

1. Distribute the 5 on the left side of the equation:
[tex]\[ 5 \times 4m + 5 \times 1 - 2m = 20m + 5 - 2m \][/tex]

2. Combine like terms on the left side (combine [tex]\(20m\)[/tex] and [tex]\(-2m\)[/tex]):
[tex]\[ 18m + 5 \][/tex]

So the equation becomes:
[tex]\[ 18m + 5 = -13 \][/tex]

3. Subtract 5 from both sides to isolate the term with [tex]\(m\)[/tex]:
[tex]\[ 18m + 5 - 5 = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]

4. Divide both sides by 18 to solve for [tex]\(m\)[/tex]:
[tex]\[ m = \frac{-18}{18} \][/tex]

5. Simplify the fraction:
[tex]\[ m = -1 \][/tex]

Therefore, the solution to the equation is [tex]\( m = -1 \)[/tex].

Thanks for taking the time to read Solve tex 5 4m 1 2m 13 tex A tex m frac 14 18 tex B tex m frac 18 20 tex C tex m. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada