(3b-2c)-(6c+2b)-(b-c)

Answer 1

To simplify the expression \((3b - 2c) - (6c + 2b) - (b - c)\), we can follow these steps:

1. Distribute the negative signs across each term in the parentheses:

   \[ = 3b - 2c - 6c - 2b - b + c \]

2. Combine like terms (group the \(b\) terms and the \(c\) terms together):

   • For the \(b\) terms: \(3b - 2b - b = (3 - 2 - 1)b = 0b = 0\)
   • For the \(c\) terms: \(-2c - 6c + c = (-2 - 6 + 1)c = -7c\)

3. Bringing it all together, we have:

   \[ 0 - 7c = -7c \]

Hence, the simplified expression is \(-7c\).