Question

1/3(r+6) = 1/6(r+8) How do I get r?

Answer 1

Hi,


WORK:

$\frac{1}{3} \times (r + 6) = \frac{1}{6} \times (r + 8)$

Multiply both sides of equation by 3.

$r + 6 = \frac{1}{2} \times (r + 8)$

Distribute one half thought parenthesis.

$r + 6 = \frac{1}{2} \times r + 4$

Multiply both sides of equation by 2.

$2r + 12 = r + 8$

Move r variable to left side and change its sign.

$2r - r + 12 = 8$

Collect the like terms.

$r = 8 - 12$

Result:

$r = - 4$

Hope this helps.
r3t40