5(−4t−5u)+8u−7(u+2t)

Sure, let's solve this step by step:

1. Distribute the 5 into the parentheses: 5 * -4t + 5 * -5u + 8u - 7(u + 2t) This simplifies to: -20t - 25u + 8u - 7(u + 2t)

2. Distribute the -7 into the parentheses: -20t - 25u + 8u - 7u - 14t This simplifies to: -20t - 25u + 8u - 7u - 14t

3. Combine like terms: -20t - 14t - 25u + 8u - 7u This simplifies to: -34t - 24u

So, the simplified form of the expression 5(−4t−5u)+8u−7(u+2t) is -34t - 24u.