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How many solutions does this equation have?

\[3f + 7 + 14f = 17f + 15\]

A. no solution
B. one solution
C. infinitely many solutions

Answer :

Final answer:

The equation 3f+7+14f=17f+15 simplifies to 17f+7=17f+15. As both sides of the equation are equal, changing the value of 'f' doesn't affect the equality. Therefore, the equation has infinitely many solutions.

Explanation:

To find out the solution to this equation, we first need to simplify the equation. The equation given is 3f + 7 + 14f = 17f + 15. We combine the similar terms on each side, it becomes 17f + 7 = 17f + 15. This is a condition where both sides of the equation are equal, and changing the value of 'f' will not affect equality. In such cases, the equation has infinitely many solutions.

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