solving linear equations in one variable practice\ncomplete this assessment to review what youve learned. it…

solving linear equations in one variable practice\ncomplete this assessment to review what youve learned. it will not count toward your grade.\nwhat value will make the equation ( 3m+\frac{5}{4}-\frac{3m}{4}=-2 ) true? write your answer as a\nfraction. (1 point)\nthe value for ( m ) that makes the equation true is ( m=square ).\ncheck answer remaining attempts : 3

solving linear equations in one variable practice\ncomplete this assessment to review what youve learned. it will not count toward your grade.\nwhat value will make the equation ( 3m+\frac{5}{4}-\frac{3m}{4}=-2 ) true? write your answer as a\nfraction. (1 point)\nthe value for ( m ) that makes the equation true is ( m=square ).\ncheck answer remaining attempts : 3

Answer

Explanation:

Step1: Combine like terms

Combine the (m) - terms: (3m-\frac{3m}{4}=\frac{12m - 3m}{4}=\frac{9m}{4}). The equation becomes (\frac{9m}{4}+\frac{5}{4}=-2).

Step2: Subtract (\frac{5}{4}) from both sides

(\frac{9m}{4}=-2-\frac{5}{4}). Calculate (-2-\frac{5}{4}=\frac{-8 - 5}{4}=\frac{-13}{4}). So, (\frac{9m}{4}=\frac{-13}{4}).

Step3: Solve for (m)

Multiply both sides by (\frac{4}{9}): (m=\frac{-13}{4}\times\frac{4}{9}). Cancel out the (4) terms: (m =-\frac{13}{9}).

Answer:

(-\frac{13}{9})