Question

question
rewrite in simplest terms: $5(-4t - 5u) + 8u - 7(u + 2t)$

Explanation:

Step1: Distribute the coefficients

First, we distribute the 5 and -7 across the parentheses.
For \(5(-4t - 5u)\), we multiply 5 by each term inside the parentheses: \(5\times(-4t)= -20t\) and \(5\times(-5u)= -25u\).
For \(-7(u + 2t)\), we multiply -7 by each term inside the parentheses: \(-7\times u = -7u\) and \(-7\times2t = -14t\).
So the expression becomes: \(-20t - 25u + 8u - 7u - 14t\)

Step2: Combine like terms

Now we combine the terms with \(t\) and the terms with \(u\) separately.
For the \(t\) terms: \(-20t - 14t = (-20 - 14)t = -34t\)
For the \(u\) terms: \(-25u + 8u - 7u = (-25 + 8 - 7)u = (-24)u = -24u\)

Putting it all together, the simplified expression is \(-34t - 24u\)

Answer:

\(-34t - 24u\)