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Solve the equation:

\[ 3700 + (d - 25) = 734 \]

Answer :

To solve the equation [tex]3 \times 700 + (d - 25) = 734[/tex], we'll go through the steps of simplifying and solving for the variable [tex]d[/tex].


  1. Simplify the Expression:


    • First, calculate [tex]3 \times 700[/tex], which is [tex]2100[/tex].


    • So, the equation now looks like:
      [tex]2100 + (d - 25) = 734[/tex]




  2. Isolate the Term Containing [tex]d[/tex]:


    • Subtract [tex]2100[/tex] from both sides of the equation to isolate the term [tex](d - 25)[/tex]:
      [tex]d - 25 = 734 - 2100[/tex]


    • Calculate [tex]734 - 2100[/tex], which is [tex]-1366[/tex].

      So, the equation simplifies to:
      [tex]d - 25 = -1366[/tex]




  3. Solve for [tex]d[/tex]:


    • Add [tex]25[/tex] to both sides to solve for [tex]d[/tex]:
      [tex]d = -1366 + 25[/tex]


    • Calculate [tex]-1366 + 25[/tex], which equals [tex]-1341[/tex].





So, the solution to the equation is [tex]d = -1341[/tex]. This means that when [tex]d[/tex] is [tex]-1341[/tex], the equation is balanced and both sides are equal.

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