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: \[ 52c + 24 \]