7(−8f−2)+10(−5f+7)

Answer 1

To simplify the expression \( 7(-8f - 2) + 10(-5f + 7) \), we will first distribute the constants through the parentheses.

1. Distribute \( 7 \) in the first part: \[ 7(-8f) + 7(-2) = -56f - 14 \]

2. Distribute \( 10 \) in the second part: \[ 10(-5f) + 10(7) = -50f + 70 \]

Now, we combine both parts: \[ -56f - 14 - 50f + 70 \]

Next, combine the like terms. For the \( f \) terms: \[ -56f - 50f = -106f \]

For the constant terms: \[ -14 + 70 = 56 \]

Now putting it all together, we get: \[ -106f + 56 \]

So, the final simplified expression is: \[ \boxed{-106f + 56} \]