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5+k/4=3 please explain thoroughly

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To solve this equation, you must multiply by a denominator and then subtract to isolate a variable.

Remove the Denominator

Multiply by 4 on both sides of the equation.


\displaystyle 4(5 + (k)/(4)) = 4(3)


\displaystyle 20 + k = 12

Simplify

Subtract 20 from both sides to isolate the k.


20 - 20 + k = 12 - 20


\boxed{k = -8}

The final answer is k = -8.

User TimLeung
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