2(−4c−3)+6(10c+5)

Answer 1

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

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

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

3. Combine the results from steps 1 and 2: \[ -8c - 6 + 60c + 30 \]

4. Combine like terms (the terms with \( c \) and the constant terms):

   • For the \( c \) terms: \( -8c + 60c = 52c \)
   • For the constant terms: \( -6 + 30 = 24 \)

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

So, the simplified expression is \( \boxed{52c + 24} \).