Hi,
WORK:
[tex] \frac{1}{3} \times (r + 6) = \frac{1}{6} \times (r + 8) \\ [/tex]
Multiply both sides of equation by 3.
[tex]r + 6 = \frac{1}{2} \times (r + 8)[/tex]
Distribute one half thought parenthesis.
[tex]r + 6 = \frac{1}{2} \times r + 4[/tex]
Multiply both sides of equation by 2.
[tex]2r + 12 = r + 8[/tex]
Move r variable to left side and change its sign.
[tex]2r - r + 12 = 8[/tex]
Collect the like terms.
[tex]r = 8 - 12[/tex]
Result:
[tex]r = - 4[/tex]
Hope this helps.
r3t40
