Question

25 - 4(v - 2) = -4(v - 8) - 8v

Explanation:

Step1: Expand both sides

Left side: $25 - 4(v - 2)=25 - 4v + 8=33 - 4v$
Right side: $-4(v - 8)-8v=-4v + 32 - 8v=-12v + 32$

Step2: Rearrange terms

Bring all terms to left: $33 - 4v + 12v - 32 = 0$
Simplify: $8v + 1 = 0$

Step3: Solve for \( v \)

Subtract 1: $8v = -1$
Divide by 8: $v = -\frac{1}{8}$

Answer:

\( v = -\dfrac{1}{8} \)