Question

solve for u.
6u = 6(-4u + 5)
u = \boxed{}

Explanation:

Step1: Distribute the 6

We distribute the 6 on the right side of the equation \(6u = 6(-4u + 5)\). Using the distributive property \(a(b + c)=ab+ac\), we get:
\(6u=-24u + 30\)

Step2: Add 24u to both sides

To get all the \(u\) terms on one side, we add \(24u\) to both sides of the equation:
\(6u+24u=-24u + 30+24u\)
Simplifying both sides, we have:
\(30u = 30\)

Step3: Divide both sides by 30

Now, we divide both sides of the equation \(30u=30\) by 30 to solve for \(u\):
\(\frac{30u}{30}=\frac{30}{30}\)
Simplifying, we get:
\(u = 1\)

Answer:

\(u = 1\)