Question

solve for u.
-83 = 2u - 15u - 18
simplify your answer as much as possible.
u =

Explanation:

Step1: Combine like terms

Combine the \(u\)-terms on the right side: \(2u - 15u=-13u\), so the equation becomes \(-83 = -13u - 18\).

Step2: Add 18 to both sides

Add 18 to each side to isolate the term with \(u\): \(-83 + 18=-13u\), which simplifies to \(-65=-13u\).

Step3: Divide by -13

Divide both sides by \(-13\) to solve for \(u\): \(u=\frac{-65}{-13}\).

Step4: Simplify the fraction

Simplify \(\frac{-65}{-13}\) to get \(u = 5\).

Answer:

\(u = 5\)