High School

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Solve for \( k \).

\[ 20000 \times k + 3517800 = 3637800 \]

Answer :

To solve the equation [tex]20000 \times k + 3517800 = 3637800[/tex], we need to find the value of [tex]k[/tex].

Step-by-step Solution:


  1. Set up the equation:
    [tex]20000 \times k + 3517800 = 3637800[/tex]


  2. Isolate the term with [tex]k[/tex]:
    To do this, subtract 3517800 from both sides of the equation:
    [tex]20000 \times k = 3637800 - 3517800[/tex]


  3. Calculate the subtraction:
    [tex]3637800 - 3517800 = 120000[/tex]


  4. Solve for [tex]k[/tex]:
    Divide both sides by 20000 to find [tex]k[/tex]:
    [tex]k = \frac{120000}{20000}[/tex]


  5. Calculate the division:
    [tex]k = 6[/tex]



So, the value of [tex]k[/tex] is [tex]6[/tex]. This solution involves basic algebra where we isolate the variable by performing operations to simplify the equation. Algebra is a fundamental aspect of mathematics that helps solve problems involving unknown values, often represented by variables like [tex]k[/tex].

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