To solve for \( c \) in the equation \( 42c - 5 = 7 \), follow these steps:
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Start with the original equation: \[ 42c - 5 = 7 \]
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Add 5 to both sides to isolate the term with \( c \): \[ 42c = 7 + 5 \] \[ 42c = 12 \]
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Now, divide both sides by 42 to solve for \( c \): \[ c = \frac{12}{42} \]
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Simplify the fraction: \[ c = \frac{2}{7} \]
Now, we can convert \( \frac{2}{7} \) to decimal form: \[ c \approx 0.2857 \]
None of the options given (6.7, 8, 12.6, 11) match the solution \( \frac{2}{7} \) or its decimal equivalent approximately 0.2857.
Please double-check the options as the answer computed does not correspond to any provided responses.