Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)". 2 more similar replacement(s)

Step by step solution :

Step  1  :

            16
 Simplify   ——
            5 

Equation at the end of step  1  :

    42                16
  ((—— • n) +  5) -  (—— • n)  = 0 
    10                5 

Step  2  :

            21
 Simplify   ——
            5 

Equation at the end of step  2  :

    21               16n
  ((—— • n) +  5) -  ———  = 0 
    5                 5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

         5     5 • 5
    5 =  —  =  —————
         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:

 21n + 5 • 5     21n + 25
 ———————————  =  ————————
      5             5    

Equation at the end of step  3  :

  (21n + 25)    16n
  —————————— -  ———  = 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:

 (21n+25) - (16n)     5n + 25
 ————————————————  =  ———————
        5                5   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5n + 25  =   5 • (n + 5) 

Equation at the end of step  5  :

  n + 5  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    n+5 = 0 

 Subtract  5  from both sides of the equation : 
                      n = -5

One solution was found :