What is the value of c?

Question

13c−22=−17c+14

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c =

Answer 1

To solve the equation \( 13c - 22 = -17c + 14 \), we can start by isolating \( c \).

First, let's add \( 17c \) to both sides:

\[ 13c + 17c - 22 = 14 \]

This simplifies to:

\[ 30c - 22 = 14 \]

Next, add \( 22 \) to both sides:

\[ 30c = 14 + 22 \]

This simplifies to:

\[ 30c = 36 \]

Now, divide both sides by \( 30 \):

\[ c = \frac{36}{30} \]

Simplifying \( \frac{36}{30} \):

\[ c = \frac{6}{5} \]

Thus, the value of \( c \) is

\[ \boxed{\frac{6}{5}} \]

Answer 2

what is 6/5 simplified

Answer 3

The fraction \( \frac{6}{5} \) is already in its simplest form. The numerator (6) and the denominator (5) do not have any common factors other than 1.

Therefore, \( \frac{6}{5} \) cannot be simplified further. It can also be expressed as a mixed number:

\[ 1 \frac{1}{5} \]

But as a fraction, \( \frac{6}{5} \) is already simplified.