Simplify 2c–3–5c + 7 + 9c–c.
17c–10
6c–4
4–5c
5c + 4
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To simplify the expression ( 2c – 3 – 5c + 7 + 9c – c ), follow these steps:
1. Combine like terms: Group the terms with ( c ) and the constant terms separately.
– For the ( c ) terms: ( 2c – 5c + 9c – c )
– For the constants: ( -3 + 7 )
2. Calculate the ( c ) terms:
– ( 2c – 5c = -3c )
– ( -3c + 9c = 6c )
– ( 6c – c = 5c )
3. Calculate the constant terms:
– ( -3 + 7 = 4 )
4. Combine the simplified terms:
– Combine ( 5c ) and ( 4 ) to get ( 5c + 4 ).
The simplified expression is ( 5c + 4 ).
Therefore, the correct answer is 5c + 4.