10w−3(8w+9)

1 answer

To simplify the expression \(10w - 3(8w + 9)\), follow these steps:

  1. Distribute the \(-3\) into the parentheses: \[ -3(8w + 9) = -3 \cdot 8w - 3 \cdot 9 = -24w - 27 \]

  2. Now, substitute this back into the expression: \[ 10w - 24w - 27 \]

  3. Combine the like terms: \[ (10w - 24w) - 27 = -14w - 27 \]

So, the simplified expression is: \[ \boxed{-14w - 27} \]