Question

simplify.
$-3(u + 4) + 4(3u - 2)$

Explanation:

Step1: Distribute the coefficients

First, we distribute -3 to (u + 4) and 4 to (3u - 2). Using the distributive property \(a(b + c)=ab+ac\), we get:
\(-3(u + 4)=-3\times u+(-3)\times4=-3u - 12\)
\(4(3u - 2)=4\times3u-4\times2 = 12u-8\)

Step2: Combine like terms

Now we substitute these back into the original expression:
\(-3u - 12+12u - 8\)
Combine the \(u\)-terms: \(-3u+12u = 9u\)
Combine the constant terms: \(-12-8=-20\)

Answer:

\(9u - 20\)