To solve the equation [tex]\( 2(2r + 8) = 3r + 16 \)[/tex] step-by-step:
1. Expand the left side of the equation:
[tex]\[ 2(2r + 8) = 4r + 16 \][/tex]
2. Write the expanded form of the equation:
[tex]\[ 4r + 16 = 3r + 16 \][/tex]
3. Move all terms involving [tex]\( r \)[/tex] to one side of the equation to isolate [tex]\( r \)[/tex]:
[tex]\[ 4r - 3r + 16 = 16 \][/tex]
This simplifies to:
[tex]\[ r + 16 = 16 \][/tex]
4. Subtract 16 from both sides to solve for [tex]\( r \)[/tex]:
[tex]\[ r = 16 - 16 \][/tex]
This simplifies to:
[tex]\[ r = 0 \][/tex]
So, the value of [tex]\( r \)[/tex] is:
[tex]\[ \boxed{0} \][/tex]
Therefore, the correct answer is option (a) 0.
