Question

solve for u. 11 = -7(-5u + 19) - 17u u =

Explanation:

Step1: Distribute -7

First, we distribute the -7 into the parentheses \(-7(-5u + 19)\). Using the distributive property \(a(b + c)=ab+ac\), we get:
\(11 = (-7)\times(-5u)+(-7)\times19 - 17u\)
\(11 = 35u-133 - 17u\)

Step2: Combine like terms

Next, we combine the like terms \(35u\) and \(-17u\).
\(35u-17u = 18u\), so the equation becomes:
\(11=18u - 133\)

Step3: Add 133 to both sides

To isolate the term with \(u\), we add 133 to both sides of the equation.
\(11 + 133=18u-133 + 133\)
\(144 = 18u\)

Step4: Divide both sides by 18

Finally, we divide both sides by 18 to solve for \(u\).
\(\frac{144}{18}=\frac{18u}{18}\)
\(u = 8\)

Answer:

\(8\)