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Initial Knowledge Check
Solve for $u$.
\[
-2(8 u-8)+8 u=6(u+3)
\]
Simplify your answer as much as possible.
\[
u=
\]

Answer

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Answer

So, the final answer is $u = \boxed{-\frac{1}{7}}$.

Steps

Step 1 ：Distribute -2 on the left side of the equation to get $-16u + 16$ and distribute 6 on the right side of the equation to get $6u + 18$.

Step 2 ：Combine like terms on both sides of the equation to get $-16u + 16 = 6u + 18$.

Step 3 ：Subtract 6u from both sides of the equation to get $-22u + 16 = 18$.

Step 4 ：Subtract 16 from both sides of the equation to get $-22u = 2$.

Step 5 ：Divide both sides of the equation by -22 to solve for u.

Step 6 ：The solution to the equation is $u = -\frac{1}{7}$.

Step 7 ：So, the final answer is $u = \boxed{-\frac{1}{7}}$.