Question

solve for u: 2 + 2(4u - 2) = -2(4u - 6) + 6u simplify your answer as much as possible.

Explanation:

Step1: Expand both sides of the equation

$2 + 8u - 4 = -8u + 12 + 6u$

Step2: Combine like terms on each side

$8u - 2 = -2u + 12$

Step3: Add $2u$ to both sides

$8u + 2u - 2 = 12$
$10u - 2 = 12$

Step4: Add 2 to both sides

$10u = 12 + 2$
$10u = 14$

Step5: Divide by 10 to solve for u

$u = \frac{14}{10}$

Step6: Simplify the fraction

$u = \frac{7}{5}$

Answer:

$u = \frac{7}{5}$