Question

simplify.
3(-3w + 3z) - 5(-7z - w)

Explanation:

Step1: Distribute the coefficients

First, distribute the 3 into \((-3w + 3z)\) and the -5 into \((-7z - w)\).
For \(3(-3w + 3z)\), we get \(3\times(-3w)+3\times3z=-9w + 9z\).
For \(-5(-7z - w)\), we get \(-5\times(-7z)+(-5)\times(-w)=35z + 5w\).
So the expression becomes \(-9w + 9z + 35z + 5w\).

Step2: Combine like terms

Now, combine the \(w\) terms and the \(z\) terms.
For the \(w\) terms: \(-9w + 5w = (-9 + 5)w=-4w\).
For the \(z\) terms: \(9z + 35z=(9 + 35)z = 44z\).
Putting them together, we have \(-4w + 44z\).

Answer:

\(-4w + 44z\)