Solve \( \frac{2 c+17.6}{4}=6 \) Give your answer as a decimal.
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To solve for \( c \) in the equation \( \frac{2 c + 17.6}{4} = 6 \), we will first eliminate the fraction by multiplying both sides by 4: \[ 2c + 17.6 = 6 \times 4 \] This simplifies to: \[ 2c + 17.6 = 24 \] Next, we will isolate the term containing \( c \) by subtracting 17.6 from both sides: \[ 2c = 24 - 17.6 \] Calculating the right side gives: \[ 2c = 6.4 \] Now, to solve for \( c \), we divide both sides by 2: \[ c = \frac{6.4}{2} = 3.2 \] Thus, the solution for \( c \) is \( \boxed{3.2} \).