Simplify the expression:

7d+5(4–d)

1 answer

To simplify the expression \( 7d + 5(4 - d) \), follow these steps:

  1. Distribute the \( 5 \) into the parentheses: \[ 5(4 - d) = 5 \cdot 4 - 5 \cdot d = 20 - 5d \]

  2. Now substitute back into the original expression: \[ 7d + (20 - 5d) \]

  3. Combine like terms: \[ 7d - 5d + 20 = 2d + 20 \]

Therefore, the simplified expression is: \[ \boxed{2d + 20} \]