Question

question 5 of 10 (1 point) | question attempt: 1 of unlimited
incorrect
your answer is incorrect.
solve for u.
-2(5u - 3)+4u = 2(u + 9)
simplify your answer as much as possible.
your answer
u =

Explanation:

Step1: Expand both sides

• Expand $-2(5u - 3)$ to get $-10u+6$ and $2(u + 9)$ to get $2u + 18$. The equation becomes $-10u + 6+4u=2u + 18$.

Step2: Combine like - terms on the left - hand side

Combine $-10u$ and $4u$: $(-10u + 4u)+6=2u + 18$, which simplifies to $-6u+6=2u + 18$.

Step3: Move the variable terms to one side

Add $6u$ to both sides: $-6u+6u + 6=2u+6u + 18$, resulting in $6 = 8u+18$.

Step4: Move the constant terms to one side

Subtract 18 from both sides: $6-18=8u+18 - 18$, so $-12 = 8u$.

Step5: Solve for $u$

Divide both sides by 8: $u=\frac{-12}{8}=-\frac{3}{2}$.

Answer:

$u =-\frac{3}{2}$