-3(u+2)+4(2u-6)

Answer 1

Let's simplify the expression \(-3(u+2)+4(2u-6)\) step by step.

1. Distribute \(-3\) into \((u+2)\): \[ -3(u) - 3(2) = -3u - 6 \]

2. Distribute \(4\) into \((2u-6)\): \[ 4(2u) - 4(6) = 8u - 24 \]

3. Now, combine the results from steps 1 and 2: \[ -3u - 6 + 8u - 24 \]

4. Combine like terms:

   • Combine the \(u\) terms: \(-3u + 8u = 5u\)
   • Combine the constant terms: \(-6 - 24 = -30\)

5. So the expression simplifies to: \[ 5u - 30 \]

Thus, the simplified form of the expression is \(\boxed{5u - 30}\).