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

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10-09-2018
Mathematics

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

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r3t40 r3t40 · Answer 1 · 2018-09-10T22:57:31+02:00

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