Question

Rewrite in simplest terms: 2, left parenthesis, minus, 4, c, minus, 3, right parenthesis, plus, 6, left parenthesis, 10, c, plus, 5, right parenthesis2(−4c−3)+6(10c+5)

Answer 1

To simplify the expression \( 2(-4c - 3) + 6(10c + 5) \), follow these steps:

1. Distribute the 2 in the first term:
\[
2(-4c) + 2(-3) = -8c - 6
\]

2. Distribute the 6 in the second term:
\[
6(10c) + 6(5) = 60c + 30
\]

3. Combine the results:
\[
-8c - 6 + 60c + 30
\]

4. Combine like terms (the \( c \) terms and the constant terms):
- For \( c \) terms: \( -8c + 60c = 52c \)
- For constant terms: \( -6 + 30 = 24 \)

5. Put it all together:
\[
52c + 24
\]

So, the expression simplified is:
\[
52c + 24
\]