Problem

Foot Lo... E Champs... Online... DeVry S... Initial Knowledge Check Solve for $u$. \[ -2(8 u-8)+8 u=6(u+3) \] Simplify your answer as much as possible. \[ u= \]

Solution

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 \(u = \boxed{-\frac{1}{7}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/17610/

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