Question

solve for u.
u - 7 + 2(2u + 2) = -7(u + 3)
simplify your answer as much as possible.
u = □

Explanation:

Step1: Expand both sides

Left side: \( u - 7 + 2(2u + 2)=u - 7 + 4u + 4 \)
Right side: \( -7(u + 3)=-7u - 21 \)

Step2: Combine like terms on left

\( u + 4u - 7 + 4 = 5u - 3 \)
So equation becomes \( 5u - 3=-7u - 21 \)

Step3: Add \( 7u \) to both sides

\( 5u + 7u - 3=-21 \)
\( 12u - 3=-21 \)

Step4: Add 3 to both sides

\( 12u=-21 + 3 \)
\( 12u=-18 \)

Step5: Divide by 12

\( u=\frac{-18}{12}=\frac{-3}{2} \)

Answer:

\( u = -\frac{3}{2} \)