Question

solve for u.
6u + u = 56
simplify your answer as much as possible.
u = square

Explanation:

Step1: Combine like terms

The left side of the equation \(6u + u\) can be combined. Since \(6u\) and \(u\) are like terms (both have the variable \(u\)), we add their coefficients: \(6u + u=(6 + 1)u = 7u\). So the equation becomes \(7u=56\).

Step2: Solve for \(u\)

To isolate \(u\), we divide both sides of the equation \(7u = 56\) by 7. Using the division property of equality, we have \(\frac{7u}{7}=\frac{56}{7}\). Simplifying both sides, \(u = 8\).

Answer:

\(u = 8\)