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

Answers

Answered by GPT-4o mini
To subtract the expression \((3b - 2c) - (6c + 2b) - (b + c)\), we will distribute the negative sign across each term in the parentheses and then combine like terms.

1. Start with the original expression:
\[
(3b - 2c) - (6c + 2b) - (b + c)
\]

2. Distribute the negative sign:
\[
3b - 2c - 6c - 2b - b - c
\]

3. Combine like terms:
- Combine the \(b\) terms: \(3b - 2b - b = 0b\)
- Combine the \(c\) terms: \(-2c - 6c - c = -9c\)

The expression simplifies to:
\[
0b - 9c
\]
Since \(0b\) is just 0, we can write the final result as:
\[
-9c
\]

Thus, the result of the subtraction is:
\[
\boxed{-9c}
\]
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