Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.4" was replaced by "(74/10)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     n-(34/10)-(-(74/10))=0 

Step by step solution :

Step  1  :

            37
 Simplify   ——
            5 

Equation at the end of step  1  :

        34           37
  (n -  ——) -  (0 -  ——)  = 0 
        10           5 

Step  2  :

            17
 Simplify   ——
            5 

Equation at the end of step  2  :

        17     -37
  (n -  ——) -  ———  = 0 
        5       5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          n     n • 5
     n =  —  =  —————
          1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 n • 5 - (17)     5n - 17
 ————————————  =  ———————
      5              5   

Equation at the end of step  3  :

  (5n - 17)    -37
  ————————— -  ———  = 0 
      5         5 

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (5n-17) - (-37)     5n + 20
 ———————————————  =  ———————
        5               5   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5n + 20  =   5 • (n + 4) 

Equation at the end of step  5  :

  n + 4  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    n+4 = 0 

 Subtract  4  from both sides of the equation : 
                      n = -4

One solution was found :