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QuestionSolve for uu in the equation 4(v−4)−6=−4(−3v+3)−4u4(v-4)-6=-4(-3 v+3)-4 u.

Studdy Solution

STEP 1

Assumptions1. The equation is 4(v−4)−6=−4(−3v+3)−4u4(v-4)-6=-4(-3 v+3)-4 u . We are solving for uu

STEP 2

First, we need to simplify both sides of the equation. We can do this by applying the distributive property on the left and right sides of the equation.
4(v−4)−6=−4(−v+)−4u4(v-4)-6=-4(- v+)-4 uBecomes4v−16−6=12v−12−4u4v -16 -6 =12v -12 -4u

STEP 3

Combine like terms on both sides of the equation.
v−22=12v−12−uv -22 =12v -12 -u

STEP 4

Rearrange the equation to isolate uu on one side. We can do this by subtracting 12v12v from both sides of the equation.
−8v−22=−12−4u-8v -22 = -12 -4u

STEP 5

Then, add 2222 to both sides of the equation to isolate −4u-4u on one side.
−8v=10−4u-8v =10 -4u

STEP 6

Finally, divide both sides of the equation by −4-4 to solve for uu.
u=2v−104u =2v - \frac{10}{4}

STEP 7

implify the right side of the equation.
u=2v−2.5u =2v -2.5So, the solution to the equation 4(v−4)−6=−4(−3v+3)−4u4(v-4)-6=-4(-3 v+3)-4 u is u=2v−2.5u =2v -2.5.

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